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Finding the Fourth Proportional to 417,691.78, 626,437.31 and 192,836.25

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Solution

The fourth proportional to 417,691.78, 626,437.31 and 192,836.25 is: 289,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,691.78 : 626,437.31 = 192,836.25 : x
  2. Step 2: Convert to fraction form
    417,691.78/626,437.31 = 192,836.25/x
  3. Step 3: Cross multiply
    417,691.78x = 626,437.31 × 192,836.25
  4. Step 4: Simplify right side
    417,691.78x = 120,799,821,720.49
  5. Step 5: Solve for x
    x = 120,799,821,720.49/417,691.78
  6. Step 6: Final answer
    x = 289,208.04

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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.