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Finding the Fourth Proportional to 415,779.53, 573,777.14 and 224,794.31

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Solution

The fourth proportional to 415,779.53, 573,777.14 and 224,794.31 is: 310,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,779.53 : 573,777.14 = 224,794.31 : x
  2. Step 2: Convert to fraction form
    415,779.53/573,777.14 = 224,794.31/x
  3. Step 3: Cross multiply
    415,779.53x = 573,777.14 × 224,794.31
  4. Step 4: Simplify right side
    415,779.53x = 128,981,832,287.22
  5. Step 5: Solve for x
    x = 128,981,832,287.22/415,779.53
  6. Step 6: Final answer
    x = 310,216.89

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