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Finding the Fourth Proportional to 381,695.80, 572,543.70 and 269,721.40

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Solution

The fourth proportional to 381,695.80, 572,543.70 and 269,721.40 is: 404,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,695.80 : 572,543.70 = 269,721.40 : x
  2. Step 2: Convert to fraction form
    381,695.80/572,543.70 = 269,721.40/x
  3. Step 3: Cross multiply
    381,695.80x = 572,543.70 × 269,721.40
  4. Step 4: Simplify right side
    381,695.80x = 154,427,288,325.18
  5. Step 5: Solve for x
    x = 154,427,288,325.18/381,695.80
  6. Step 6: Final answer
    x = 404,582.10

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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.