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Finding the Fourth Proportional to 415,057.23, 572,780.16 and 240,661.23

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Solution

The fourth proportional to 415,057.23, 572,780.16 and 240,661.23 is: 332,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,057.23 : 572,780.16 = 240,661.23 : x
  2. Step 2: Convert to fraction form
    415,057.23/572,780.16 = 240,661.23/x
  3. Step 3: Cross multiply
    415,057.23x = 572,780.16 × 240,661.23
  4. Step 4: Simplify right side
    415,057.23x = 137,845,977,825.20
  5. Step 5: Solve for x
    x = 137,845,977,825.20/415,057.23
  6. Step 6: Final answer
    x = 332,113.18

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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.