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Finding the Fourth Proportional to 317,207.80, 475,808.46 and 106,844.32

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Solution

The fourth proportional to 317,207.80, 475,808.46 and 106,844.32 is: 160,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,207.80 : 475,808.46 = 106,844.32 : x
  2. Step 2: Convert to fraction form
    317,207.80/475,808.46 = 106,844.32/x
  3. Step 3: Cross multiply
    317,207.80x = 475,808.46 × 106,844.32
  4. Step 4: Simplify right side
    317,207.80x = 50,837,431,358.95
  5. Step 5: Solve for x
    x = 50,837,431,358.95/317,207.80
  6. Step 6: Final answer
    x = 160,265.39

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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.