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Finding the Fourth Proportional to 317,920.20, 476,583.84 and 107,410.92

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Solution

The fourth proportional to 317,920.20, 476,583.84 and 107,410.92 is: 161,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,920.20 : 476,583.84 = 107,410.92 : x
  2. Step 2: Convert to fraction form
    317,920.20/476,583.84 = 107,410.92/x
  3. Step 3: Cross multiply
    317,920.20x = 476,583.84 × 107,410.92
  4. Step 4: Simplify right side
    317,920.20x = 51,190,308,711.53
  5. Step 5: Solve for x
    x = 51,190,308,711.53/317,920.20
  6. Step 6: Final answer
    x = 161,016.22

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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.