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Finding the Fourth Proportional to 473,229.16, 709,042.02 and 285,847

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Solution

The fourth proportional to 473,229.16, 709,042.02 and 285,847 is: 428,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,229.16 : 709,042.02 = 285,847 : x
  2. Step 2: Convert to fraction form
    473,229.16/709,042.02 = 285,847/x
  3. Step 3: Cross multiply
    473,229.16x = 709,042.02 × 285,847
  4. Step 4: Simplify right side
    473,229.16x = 202,677,534,290.94
  5. Step 5: Solve for x
    x = 202,677,534,290.94/473,229.16
  6. Step 6: Final answer
    x = 428,286.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.