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Finding the Fourth Proportional to 381,562.20, 572,366.16 and 101,078.64

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Solution

The fourth proportional to 381,562.20, 572,366.16 and 101,078.64 is: 151,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,562.20 : 572,366.16 = 101,078.64 : x
  2. Step 2: Convert to fraction form
    381,562.20/572,366.16 = 101,078.64/x
  3. Step 3: Cross multiply
    381,562.20x = 572,366.16 × 101,078.64
  4. Step 4: Simplify right side
    381,562.20x = 57,853,993,034.82
  5. Step 5: Solve for x
    x = 57,853,993,034.82/381,562.20
  6. Step 6: Final answer
    x = 151,624.02

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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.