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Finding the Fourth Proportional to 361,470.10, 542,205.15 and 277,489.30

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Solution

The fourth proportional to 361,470.10, 542,205.15 and 277,489.30 is: 416,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,470.10 : 542,205.15 = 277,489.30 : x
  2. Step 2: Convert to fraction form
    361,470.10/542,205.15 = 277,489.30/x
  3. Step 3: Cross multiply
    361,470.10x = 542,205.15 × 277,489.30
  4. Step 4: Simplify right side
    361,470.10x = 150,456,127,529.90
  5. Step 5: Solve for x
    x = 150,456,127,529.90/361,470.10
  6. Step 6: Final answer
    x = 416,233.95

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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.