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Finding the Fourth Proportional to 472,945.60, 709,418.40 and 295,998.40

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Solution

The fourth proportional to 472,945.60, 709,418.40 and 295,998.40 is: 443,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,945.60 : 709,418.40 = 295,998.40 : x
  2. Step 2: Convert to fraction form
    472,945.60/709,418.40 = 295,998.40/x
  3. Step 3: Cross multiply
    472,945.60x = 709,418.40 × 295,998.40
  4. Step 4: Simplify right side
    472,945.60x = 209,986,711,330.56
  5. Step 5: Solve for x
    x = 209,986,711,330.56/472,945.60
  6. Step 6: Final answer
    x = 443,997.60

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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.