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Finding the Fourth Proportional to 415,766.56, 573,757.90 and 224,779.90

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Solution

The fourth proportional to 415,766.56, 573,757.90 and 224,779.90 is: 310,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,766.56 : 573,757.90 = 224,779.90 : x
  2. Step 2: Convert to fraction form
    415,766.56/573,757.90 = 224,779.90/x
  3. Step 3: Cross multiply
    415,766.56x = 573,757.90 × 224,779.90
  4. Step 4: Simplify right side
    415,766.56x = 128,969,243,386.21
  5. Step 5: Solve for x
    x = 128,969,243,386.21/415,766.56
  6. Step 6: Final answer
    x = 310,196.29

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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.