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Finding the Fourth Proportional to 402,092.02, 602,711.97 and 188,679.70

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Solution

The fourth proportional to 402,092.02, 602,711.97 and 188,679.70 is: 282,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,092.02 : 602,711.97 = 188,679.70 : x
  2. Step 2: Convert to fraction form
    402,092.02/602,711.97 = 188,679.70/x
  3. Step 3: Cross multiply
    402,092.02x = 602,711.97 × 188,679.70
  4. Step 4: Simplify right side
    402,092.02x = 113,719,513,686.01
  5. Step 5: Solve for x
    x = 113,719,513,686.01/402,092.02
  6. Step 6: Final answer
    x = 282,819.62

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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.