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Finding the Fourth Proportional to 408,085.20, 612,214.20 and 123,752.40

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Solution

The fourth proportional to 408,085.20, 612,214.20 and 123,752.40 is: 185,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,085.20 : 612,214.20 = 123,752.40 : x
  2. Step 2: Convert to fraction form
    408,085.20/612,214.20 = 123,752.40/x
  3. Step 3: Cross multiply
    408,085.20x = 612,214.20 × 123,752.40
  4. Step 4: Simplify right side
    408,085.20x = 75,762,976,564.08
  5. Step 5: Solve for x
    x = 75,762,976,564.08/408,085.20
  6. Step 6: Final answer
    x = 185,654.80

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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.