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Finding the Fourth Proportional to 656,892.82, 906,534.48 and 381,229.48

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Solution

The fourth proportional to 656,892.82, 906,534.48 and 381,229.48 is: 526,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,892.82 : 906,534.48 = 381,229.48 : x
  2. Step 2: Convert to fraction form
    656,892.82/906,534.48 = 381,229.48/x
  3. Step 3: Cross multiply
    656,892.82x = 906,534.48 × 381,229.48
  4. Step 4: Simplify right side
    656,892.82x = 345,597,668,412.47
  5. Step 5: Solve for x
    x = 345,597,668,412.47/656,892.82
  6. Step 6: Final answer
    x = 526,109.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.