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Finding the Fourth Proportional to 475,321.14, 712,974.06 and 115,494.84

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Solution

The fourth proportional to 475,321.14, 712,974.06 and 115,494.84 is: 173,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,321.14 : 712,974.06 = 115,494.84 : x
  2. Step 2: Convert to fraction form
    475,321.14/712,974.06 = 115,494.84/x
  3. Step 3: Cross multiply
    475,321.14x = 712,974.06 × 115,494.84
  4. Step 4: Simplify right side
    475,321.14x = 82,344,824,983.85
  5. Step 5: Solve for x
    x = 82,344,824,983.85/475,321.14
  6. Step 6: Final answer
    x = 173,240.40

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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.