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Finding the Fourth Proportional to 474,841.91, 712,299.76 and 137,888.12

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Solution

The fourth proportional to 474,841.91, 712,299.76 and 137,888.12 is: 206,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,841.91 : 712,299.76 = 137,888.12 : x
  2. Step 2: Convert to fraction form
    474,841.91/712,299.76 = 137,888.12/x
  3. Step 3: Cross multiply
    474,841.91x = 712,299.76 × 137,888.12
  4. Step 4: Simplify right side
    474,841.91x = 98,217,676,218.88
  5. Step 5: Solve for x
    x = 98,217,676,218.88/474,841.91
  6. Step 6: Final answer
    x = 206,842.90

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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.