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Finding the Fourth Proportional to 415,742.41, 573,724.38 and 224,755.75

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Solution

The fourth proportional to 415,742.41, 573,724.38 and 224,755.75 is: 310,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,742.41 : 573,724.38 = 224,755.75 : x
  2. Step 2: Convert to fraction form
    415,742.41/573,724.38 = 224,755.75/x
  3. Step 3: Cross multiply
    415,742.41x = 573,724.38 × 224,755.75
  4. Step 4: Simplify right side
    415,742.41x = 128,947,853,320.19
  5. Step 5: Solve for x
    x = 128,947,853,320.19/415,742.41
  6. Step 6: Final answer
    x = 310,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.