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Finding the Fourth Proportional to 337,564.92, 465,885.90 and 203,403

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Solution

The fourth proportional to 337,564.92, 465,885.90 and 203,403 is: 280,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,564.92 : 465,885.90 = 203,403 : x
  2. Step 2: Convert to fraction form
    337,564.92/465,885.90 = 203,403/x
  3. Step 3: Cross multiply
    337,564.92x = 465,885.90 × 203,403
  4. Step 4: Simplify right side
    337,564.92x = 94,762,589,717.70
  5. Step 5: Solve for x
    x = 94,762,589,717.70/337,564.92
  6. Step 6: Final answer
    x = 280,724.04

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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.