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Finding the Fourth Proportional to 458,549.16, 687,761.38 and 174,311.27

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Solution

The fourth proportional to 458,549.16, 687,761.38 and 174,311.27 is: 261,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,549.16 : 687,761.38 = 174,311.27 : x
  2. Step 2: Convert to fraction form
    458,549.16/687,761.38 = 174,311.27/x
  3. Step 3: Cross multiply
    458,549.16x = 687,761.38 × 174,311.27
  4. Step 4: Simplify right side
    458,549.16x = 119,884,557,028.61
  5. Step 5: Solve for x
    x = 119,884,557,028.61/458,549.16
  6. Step 6: Final answer
    x = 261,443.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.