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Finding the Fourth Proportional to 471,569.65, 650,665.20 and 280,545.73

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Solution

The fourth proportional to 471,569.65, 650,665.20 and 280,545.73 is: 387,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,569.65 : 650,665.20 = 280,545.73 : x
  2. Step 2: Convert to fraction form
    471,569.65/650,665.20 = 280,545.73/x
  3. Step 3: Cross multiply
    471,569.65x = 650,665.20 × 280,545.73
  4. Step 4: Simplify right side
    471,569.65x = 182,541,342,944.98
  5. Step 5: Solve for x
    x = 182,541,342,944.98/471,569.65
  6. Step 6: Final answer
    x = 387,093.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.