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Finding the Fourth Proportional to 313,126.90, 469,542.72 and 186,734.36

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Solution

The fourth proportional to 313,126.90, 469,542.72 and 186,734.36 is: 280,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,126.90 : 469,542.72 = 186,734.36 : x
  2. Step 2: Convert to fraction form
    313,126.90/469,542.72 = 186,734.36/x
  3. Step 3: Cross multiply
    313,126.90x = 469,542.72 × 186,734.36
  4. Step 4: Simplify right side
    313,126.90x = 87,679,761,185.97
  5. Step 5: Solve for x
    x = 87,679,761,185.97/313,126.90
  6. Step 6: Final answer
    x = 280,013.51

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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.