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Finding the Fourth Proportional to 564,414.26, 846,176.68 and 279,914.72

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Solution

The fourth proportional to 564,414.26, 846,176.68 and 279,914.72 is: 419,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,414.26 : 846,176.68 = 279,914.72 : x
  2. Step 2: Convert to fraction form
    564,414.26/846,176.68 = 279,914.72/x
  3. Step 3: Cross multiply
    564,414.26x = 846,176.68 × 279,914.72
  4. Step 4: Simplify right side
    564,414.26x = 236,857,304,571.74
  5. Step 5: Solve for x
    x = 236,857,304,571.74/564,414.26
  6. Step 6: Final answer
    x = 419,651.53

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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.