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Finding the Fourth Proportional to 381,908.10, 572,862.15 and 293,607.30

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Solution

The fourth proportional to 381,908.10, 572,862.15 and 293,607.30 is: 440,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,908.10 : 572,862.15 = 293,607.30 : x
  2. Step 2: Convert to fraction form
    381,908.10/572,862.15 = 293,607.30/x
  3. Step 3: Cross multiply
    381,908.10x = 572,862.15 × 293,607.30
  4. Step 4: Simplify right side
    381,908.10x = 168,196,509,133.70
  5. Step 5: Solve for x
    x = 168,196,509,133.70/381,908.10
  6. Step 6: Final answer
    x = 440,410.95

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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.