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Finding the Fourth Proportional to 317,033.14, 475,611.87 and 117,355.24

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Solution

The fourth proportional to 317,033.14, 475,611.87 and 117,355.24 is: 176,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,033.14 : 475,611.87 = 117,355.24 : x
  2. Step 2: Convert to fraction form
    317,033.14/475,611.87 = 117,355.24/x
  3. Step 3: Cross multiply
    317,033.14x = 475,611.87 × 117,355.24
  4. Step 4: Simplify right side
    317,033.14x = 55,815,545,150.70
  5. Step 5: Solve for x
    x = 55,815,545,150.70/317,033.14
  6. Step 6: Final answer
    x = 176,055.87

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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.