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Finding the Fourth Proportional to 317,691.27, 476,396.96 and 149,259.47

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Solution

The fourth proportional to 317,691.27, 476,396.96 and 149,259.47 is: 223,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,691.27 : 476,396.96 = 149,259.47 : x
  2. Step 2: Convert to fraction form
    317,691.27/476,396.96 = 149,259.47/x
  3. Step 3: Cross multiply
    317,691.27x = 476,396.96 × 149,259.47
  4. Step 4: Simplify right side
    317,691.27x = 71,106,754,630.93
  5. Step 5: Solve for x
    x = 71,106,754,630.93/317,691.27
  6. Step 6: Final answer
    x = 223,823.45

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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.