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Finding the Fourth Proportional to 415,939.71, 573,996.80 and 224,953.10

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Solution

The fourth proportional to 415,939.71, 573,996.80 and 224,953.10 is: 310,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,939.71 : 573,996.80 = 224,953.10 : x
  2. Step 2: Convert to fraction form
    415,939.71/573,996.80 = 224,953.10/x
  3. Step 3: Cross multiply
    415,939.71x = 573,996.80 × 224,953.10
  4. Step 4: Simplify right side
    415,939.71x = 129,122,359,550.08
  5. Step 5: Solve for x
    x = 129,122,359,550.08/415,939.71
  6. Step 6: Final answer
    x = 310,435.28

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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.