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Finding the Fourth Proportional to 643,409.40, 965,114.10 and 243,917.40

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Solution

The fourth proportional to 643,409.40, 965,114.10 and 243,917.40 is: 365,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,409.40 : 965,114.10 = 243,917.40 : x
  2. Step 2: Convert to fraction form
    643,409.40/965,114.10 = 243,917.40/x
  3. Step 3: Cross multiply
    643,409.40x = 965,114.10 × 243,917.40
  4. Step 4: Simplify right side
    643,409.40x = 235,408,121,975.34
  5. Step 5: Solve for x
    x = 235,408,121,975.34/643,409.40
  6. Step 6: Final answer
    x = 365,876.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.