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Finding the Fourth Proportional to 381,787.17, 572,019.24 and 231,713.00

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Solution

The fourth proportional to 381,787.17, 572,019.24 and 231,713.00 is: 347,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,787.17 : 572,019.24 = 231,713.00 : x
  2. Step 2: Convert to fraction form
    381,787.17/572,019.24 = 231,713.00/x
  3. Step 3: Cross multiply
    381,787.17x = 572,019.24 × 231,713.00
  4. Step 4: Simplify right side
    381,787.17x = 132,544,294,312.02
  5. Step 5: Solve for x
    x = 132,544,294,312.02/381,787.17
  6. Step 6: Final answer
    x = 347,168.02

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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.