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Finding the Fourth Proportional to 317,208.81, 475,919.85 and 117,545.28

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Solution

The fourth proportional to 317,208.81, 475,919.85 and 117,545.28 is: 176,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,208.81 : 475,919.85 = 117,545.28 : x
  2. Step 2: Convert to fraction form
    317,208.81/475,919.85 = 117,545.28/x
  3. Step 3: Cross multiply
    317,208.81x = 475,919.85 × 117,545.28
  4. Step 4: Simplify right side
    317,208.81x = 55,942,132,025.81
  5. Step 5: Solve for x
    x = 55,942,132,025.81/317,208.81
  6. Step 6: Final answer
    x = 176,357.43

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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.