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Finding the Fourth Proportional to 643,911.84, 965,867.76 and 223,187.76

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Solution

The fourth proportional to 643,911.84, 965,867.76 and 223,187.76 is: 334,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,911.84 : 965,867.76 = 223,187.76 : x
  2. Step 2: Convert to fraction form
    643,911.84/965,867.76 = 223,187.76/x
  3. Step 3: Cross multiply
    643,911.84x = 965,867.76 × 223,187.76
  4. Step 4: Simplify right side
    643,911.84x = 215,569,861,810.62
  5. Step 5: Solve for x
    x = 215,569,861,810.62/643,911.84
  6. Step 6: Final answer
    x = 334,781.64

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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.