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Finding the Fourth Proportional to 472,342.97, 708,382.72 and 130,704.11

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Solution

The fourth proportional to 472,342.97, 708,382.72 and 130,704.11 is: 196,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,342.97 : 708,382.72 = 130,704.11 : x
  2. Step 2: Convert to fraction form
    472,342.97/708,382.72 = 130,704.11/x
  3. Step 3: Cross multiply
    472,342.97x = 708,382.72 × 130,704.11
  4. Step 4: Simplify right side
    472,342.97x = 92,588,532,956.98
  5. Step 5: Solve for x
    x = 92,588,532,956.98/472,342.97
  6. Step 6: Final answer
    x = 196,019.71

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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.