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Finding the Fourth Proportional to 317,049.71, 475,436.33 and 119,919.47

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Solution

The fourth proportional to 317,049.71, 475,436.33 and 119,919.47 is: 179,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,049.71 : 475,436.33 = 119,919.47 : x
  2. Step 2: Convert to fraction form
    317,049.71/475,436.33 = 119,919.47/x
  3. Step 3: Cross multiply
    317,049.71x = 475,436.33 × 119,919.47
  4. Step 4: Simplify right side
    317,049.71x = 57,014,069,735.57
  5. Step 5: Solve for x
    x = 57,014,069,735.57/317,049.71
  6. Step 6: Final answer
    x = 179,826.91

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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.