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Finding the Fourth Proportional to 360,784.42, 541,363.28 and 261,761.92

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Solution

The fourth proportional to 360,784.42, 541,363.28 and 261,761.92 is: 392,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,784.42 : 541,363.28 = 261,761.92 : x
  2. Step 2: Convert to fraction form
    360,784.42/541,363.28 = 261,761.92/x
  3. Step 3: Cross multiply
    360,784.42x = 541,363.28 × 261,761.92
  4. Step 4: Simplify right side
    360,784.42x = 141,708,291,590.30
  5. Step 5: Solve for x
    x = 141,708,291,590.30/360,784.42
  6. Step 6: Final answer
    x = 392,778.30

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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.