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Finding the Fourth Proportional to 408,092.80, 612,139.20 and 282,121.60

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Solution

The fourth proportional to 408,092.80, 612,139.20 and 282,121.60 is: 423,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,092.80 : 612,139.20 = 282,121.60 : x
  2. Step 2: Convert to fraction form
    408,092.80/612,139.20 = 282,121.60/x
  3. Step 3: Cross multiply
    408,092.80x = 612,139.20 × 282,121.60
  4. Step 4: Simplify right side
    408,092.80x = 172,697,690,526.72
  5. Step 5: Solve for x
    x = 172,697,690,526.72/408,092.80
  6. Step 6: Final answer
    x = 423,182.40

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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.