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Finding the Fourth Proportional to 649,654.56, 896,382.45 and 363,164.85

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Solution

The fourth proportional to 649,654.56, 896,382.45 and 363,164.85 is: 501,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,654.56 : 896,382.45 = 363,164.85 : x
  2. Step 2: Convert to fraction form
    649,654.56/896,382.45 = 363,164.85/x
  3. Step 3: Cross multiply
    649,654.56x = 896,382.45 × 363,164.85
  4. Step 4: Simplify right side
    649,654.56x = 325,534,597,996.88
  5. Step 5: Solve for x
    x = 325,534,597,996.88/649,654.56
  6. Step 6: Final answer
    x = 501,088.76

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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.