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Finding the Fourth Proportional to 317,309.90, 475,517.32 and 175,219.14

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Solution

The fourth proportional to 317,309.90, 475,517.32 and 175,219.14 is: 262,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,309.90 : 475,517.32 = 175,219.14 : x
  2. Step 2: Convert to fraction form
    317,309.90/475,517.32 = 175,219.14/x
  3. Step 3: Cross multiply
    317,309.90x = 475,517.32 × 175,219.14
  4. Step 4: Simplify right side
    317,309.90x = 83,319,735,865.50
  5. Step 5: Solve for x
    x = 83,319,735,865.50/317,309.90
  6. Step 6: Final answer
    x = 262,581.58

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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.