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Finding the Fourth Proportional to 469,496.38, 704,251.86 and 114,517.12

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Solution

The fourth proportional to 469,496.38, 704,251.86 and 114,517.12 is: 171,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,496.38 : 704,251.86 = 114,517.12 : x
  2. Step 2: Convert to fraction form
    469,496.38/704,251.86 = 114,517.12/x
  3. Step 3: Cross multiply
    469,496.38x = 704,251.86 × 114,517.12
  4. Step 4: Simplify right side
    469,496.38x = 80,648,894,761.84
  5. Step 5: Solve for x
    x = 80,648,894,761.84/469,496.38
  6. Step 6: Final answer
    x = 171,777.46

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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.