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Finding the Fourth Proportional to 410,825.10, 616,237.65 and 252,540.30

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Solution

The fourth proportional to 410,825.10, 616,237.65 and 252,540.30 is: 378,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,825.10 : 616,237.65 = 252,540.30 : x
  2. Step 2: Convert to fraction form
    410,825.10/616,237.65 = 252,540.30/x
  3. Step 3: Cross multiply
    410,825.10x = 616,237.65 × 252,540.30
  4. Step 4: Simplify right side
    410,825.10x = 155,624,841,002.30
  5. Step 5: Solve for x
    x = 155,624,841,002.30/410,825.10
  6. Step 6: Final answer
    x = 378,810.45

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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.