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Finding the Fourth Proportional to 410,822.10, 616,233.15 and 252,537.30

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Solution

The fourth proportional to 410,822.10, 616,233.15 and 252,537.30 is: 378,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,822.10 : 616,233.15 = 252,537.30 : x
  2. Step 2: Convert to fraction form
    410,822.10/616,233.15 = 252,537.30/x
  3. Step 3: Cross multiply
    410,822.10x = 616,233.15 × 252,537.30
  4. Step 4: Simplify right side
    410,822.10x = 155,621,855,871.50
  5. Step 5: Solve for x
    x = 155,621,855,871.50/410,822.10
  6. Step 6: Final answer
    x = 378,805.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.