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Finding the Fourth Proportional to 473,229.25, 709,694.94 and 153,306.89

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Solution

The fourth proportional to 473,229.25, 709,694.94 and 153,306.89 is: 229,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,229.25 : 709,694.94 = 153,306.89 : x
  2. Step 2: Convert to fraction form
    473,229.25/709,694.94 = 153,306.89/x
  3. Step 3: Cross multiply
    473,229.25x = 709,694.94 × 153,306.89
  4. Step 4: Simplify right side
    473,229.25x = 108,801,120,551.66
  5. Step 5: Solve for x
    x = 108,801,120,551.66/473,229.25
  6. Step 6: Final answer
    x = 229,912.08

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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.