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Finding the Fourth Proportional to 473,968.52, 711,458.78 and 204,229.77

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Solution

The fourth proportional to 473,968.52, 711,458.78 and 204,229.77 is: 306,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,968.52 : 711,458.78 = 204,229.77 : x
  2. Step 2: Convert to fraction form
    473,968.52/711,458.78 = 204,229.77/x
  3. Step 3: Cross multiply
    473,968.52x = 711,458.78 × 204,229.77
  4. Step 4: Simplify right side
    473,968.52x = 145,301,061,982.73
  5. Step 5: Solve for x
    x = 145,301,061,982.73/473,968.52
  6. Step 6: Final answer
    x = 306,562.69

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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.