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Finding the Fourth Proportional to 342,716.92, 472,964.14 and 189,755.11

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Solution

The fourth proportional to 342,716.92, 472,964.14 and 189,755.11 is: 261,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716.92 : 472,964.14 = 189,755.11 : x
  2. Step 2: Convert to fraction form
    342,716.92/472,964.14 = 189,755.11/x
  3. Step 3: Cross multiply
    342,716.92x = 472,964.14 × 189,755.11
  4. Step 4: Simplify right side
    342,716.92x = 89,747,364,036.68
  5. Step 5: Solve for x
    x = 89,747,364,036.68/342,716.92
  6. Step 6: Final answer
    x = 261,870.24

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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.