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Finding the Fourth Proportional to 381,385.13, 571,856.18 and 144,598.64

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Solution

The fourth proportional to 381,385.13, 571,856.18 and 144,598.64 is: 216,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.13 : 571,856.18 = 144,598.64 : x
  2. Step 2: Convert to fraction form
    381,385.13/571,856.18 = 144,598.64/x
  3. Step 3: Cross multiply
    381,385.13x = 571,856.18 × 144,598.64
  4. Step 4: Simplify right side
    381,385.13x = 82,689,622,321.32
  5. Step 5: Solve for x
    x = 82,689,622,321.32/381,385.13
  6. Step 6: Final answer
    x = 216,813.97

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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.