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Finding the Fourth Proportional to 317,104.38, 437,617.71 and 189,755.46

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Solution

The fourth proportional to 317,104.38, 437,617.71 and 189,755.46 is: 261,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,104.38 : 437,617.71 = 189,755.46 : x
  2. Step 2: Convert to fraction form
    317,104.38/437,617.71 = 189,755.46/x
  3. Step 3: Cross multiply
    317,104.38x = 437,617.71 × 189,755.46
  4. Step 4: Simplify right side
    317,104.38x = 83,040,349,865.20
  5. Step 5: Solve for x
    x = 83,040,349,865.20/317,104.38
  6. Step 6: Final answer
    x = 261,870.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.