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Finding the Fourth Proportional to 322,270.80, 482,830.20 and 155,691.60

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Solution

The fourth proportional to 322,270.80, 482,830.20 and 155,691.60 is: 233,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,270.80 : 482,830.20 = 155,691.60 : x
  2. Step 2: Convert to fraction form
    322,270.80/482,830.20 = 155,691.60/x
  3. Step 3: Cross multiply
    322,270.80x = 482,830.20 × 155,691.60
  4. Step 4: Simplify right side
    322,270.80x = 75,172,606,366.32
  5. Step 5: Solve for x
    x = 75,172,606,366.32/322,270.80
  6. Step 6: Final answer
    x = 233,259.13

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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.