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Finding the Fourth Proportional to 317,847.68, 476,764.14 and 160,033.76

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Solution

The fourth proportional to 317,847.68, 476,764.14 and 160,033.76 is: 240,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,847.68 : 476,764.14 = 160,033.76 : x
  2. Step 2: Convert to fraction form
    317,847.68/476,764.14 = 160,033.76/x
  3. Step 3: Cross multiply
    317,847.68x = 476,764.14 × 160,033.76
  4. Step 4: Simplify right side
    317,847.68x = 76,298,357,957.37
  5. Step 5: Solve for x
    x = 76,298,357,957.37/317,847.68
  6. Step 6: Final answer
    x = 240,046.92

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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.