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Finding the Fourth Proportional to 465,098.76, 641,906.51 and 283,916.14

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Solution

The fourth proportional to 465,098.76, 641,906.51 and 283,916.14 is: 391,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,098.76 : 641,906.51 = 283,916.14 : x
  2. Step 2: Convert to fraction form
    465,098.76/641,906.51 = 283,916.14/x
  3. Step 3: Cross multiply
    465,098.76x = 641,906.51 × 283,916.14
  4. Step 4: Simplify right side
    465,098.76x = 182,247,615,535.72
  5. Step 5: Solve for x
    x = 182,247,615,535.72/465,098.76
  6. Step 6: Final answer
    x = 391,847.13

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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.