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Finding the Fourth Proportional to 317,747.38, 476,701.74 and 147,092.12

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Solution

The fourth proportional to 317,747.38, 476,701.74 and 147,092.12 is: 220,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,747.38 : 476,701.74 = 147,092.12 : x
  2. Step 2: Convert to fraction form
    317,747.38/476,701.74 = 147,092.12/x
  3. Step 3: Cross multiply
    317,747.38x = 476,701.74 × 147,092.12
  4. Step 4: Simplify right side
    317,747.38x = 70,119,069,643.68
  5. Step 5: Solve for x
    x = 70,119,069,643.68/317,747.38
  6. Step 6: Final answer
    x = 220,675.53

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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.