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Finding the Fourth Proportional to 410,822.60, 616,233.90 and 252,537.80

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Solution

The fourth proportional to 410,822.60, 616,233.90 and 252,537.80 is: 378,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,822.60 : 616,233.90 = 252,537.80 : x
  2. Step 2: Convert to fraction form
    410,822.60/616,233.90 = 252,537.80/x
  3. Step 3: Cross multiply
    410,822.60x = 616,233.90 × 252,537.80
  4. Step 4: Simplify right side
    410,822.60x = 155,622,353,391.42
  5. Step 5: Solve for x
    x = 155,622,353,391.42/410,822.60
  6. Step 6: Final answer
    x = 378,806.70

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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.