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Finding the Fourth Proportional to 542,276.65, 813,417.86 and 163,194.78

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Solution

The fourth proportional to 542,276.65, 813,417.86 and 163,194.78 is: 244,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,276.65 : 813,417.86 = 163,194.78 : x
  2. Step 2: Convert to fraction form
    542,276.65/813,417.86 = 163,194.78/x
  3. Step 3: Cross multiply
    542,276.65x = 813,417.86 × 163,194.78
  4. Step 4: Simplify right side
    542,276.65x = 132,745,548,710.77
  5. Step 5: Solve for x
    x = 132,745,548,710.77/542,276.65
  6. Step 6: Final answer
    x = 244,793.04

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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.