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Finding the Fourth Proportional to 647,182.32, 970,707.87 and 173,806.17

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Solution

The fourth proportional to 647,182.32, 970,707.87 and 173,806.17 is: 260,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,182.32 : 970,707.87 = 173,806.17 : x
  2. Step 2: Convert to fraction form
    647,182.32/970,707.87 = 173,806.17/x
  3. Step 3: Cross multiply
    647,182.32x = 970,707.87 × 173,806.17
  4. Step 4: Simplify right side
    647,182.32x = 168,715,017,073.56
  5. Step 5: Solve for x
    x = 168,715,017,073.56/647,182.32
  6. Step 6: Final answer
    x = 260,691.63

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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.