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Finding the Fourth Proportional to 313,724.90, 433,003.20 and 186,375.89

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Solution

The fourth proportional to 313,724.90, 433,003.20 and 186,375.89 is: 257,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,724.90 : 433,003.20 = 186,375.89 : x
  2. Step 2: Convert to fraction form
    313,724.90/433,003.20 = 186,375.89/x
  3. Step 3: Cross multiply
    313,724.90x = 433,003.20 × 186,375.89
  4. Step 4: Simplify right side
    313,724.90x = 80,701,356,772.85
  5. Step 5: Solve for x
    x = 80,701,356,772.85/313,724.90
  6. Step 6: Final answer
    x = 257,236.06

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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.