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Finding the Fourth Proportional to 381,696.80, 572,545.20 and 269,139.20

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Solution

The fourth proportional to 381,696.80, 572,545.20 and 269,139.20 is: 403,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,696.80 : 572,545.20 = 269,139.20 : x
  2. Step 2: Convert to fraction form
    381,696.80/572,545.20 = 269,139.20/x
  3. Step 3: Cross multiply
    381,696.80x = 572,545.20 × 269,139.20
  4. Step 4: Simplify right side
    381,696.80x = 154,094,357,091.84
  5. Step 5: Solve for x
    x = 154,094,357,091.84/381,696.80
  6. Step 6: Final answer
    x = 403,708.80

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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.