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Finding the Fourth Proportional to 425,461.92, 587,129.51 and 231,871.11

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Solution

The fourth proportional to 425,461.92, 587,129.51 and 231,871.11 is: 319,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,461.92 : 587,129.51 = 231,871.11 : x
  2. Step 2: Convert to fraction form
    425,461.92/587,129.51 = 231,871.11/x
  3. Step 3: Cross multiply
    425,461.92x = 587,129.51 × 231,871.11
  4. Step 4: Simplify right side
    425,461.92x = 136,138,369,575.40
  5. Step 5: Solve for x
    x = 136,138,369,575.40/425,461.92
  6. Step 6: Final answer
    x = 319,977.80

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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.