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Finding the Fourth Proportional to 317,276.28, 475,980 and 106,930.56

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Solution

The fourth proportional to 317,276.28, 475,980 and 106,930.56 is: 160,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,276.28 : 475,980 = 106,930.56 : x
  2. Step 2: Convert to fraction form
    317,276.28/475,980 = 106,930.56/x
  3. Step 3: Cross multiply
    317,276.28x = 475,980 × 106,930.56
  4. Step 4: Simplify right side
    317,276.28x = 50,896,807,948.80
  5. Step 5: Solve for x
    x = 50,896,807,948.80/317,276.28
  6. Step 6: Final answer
    x = 160,417.94

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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.