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Finding the Fourth Proportional to 381,344.90, 571,921.35 and 156,767.96

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Solution

The fourth proportional to 381,344.90, 571,921.35 and 156,767.96 is: 235,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,344.90 : 571,921.35 = 156,767.96 : x
  2. Step 2: Convert to fraction form
    381,344.90/571,921.35 = 156,767.96/x
  3. Step 3: Cross multiply
    381,344.90x = 571,921.35 × 156,767.96
  4. Step 4: Simplify right side
    381,344.90x = 89,658,943,319.95
  5. Step 5: Solve for x
    x = 89,658,943,319.95/381,344.90
  6. Step 6: Final answer
    x = 235,112.48

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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.