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Finding the Fourth Proportional to 322,410.53, 444,891.15 and 186,423.88

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Solution

The fourth proportional to 322,410.53, 444,891.15 and 186,423.88 is: 257,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.53 : 444,891.15 = 186,423.88 : x
  2. Step 2: Convert to fraction form
    322,410.53/444,891.15 = 186,423.88/x
  3. Step 3: Cross multiply
    322,410.53x = 444,891.15 × 186,423.88
  4. Step 4: Simplify right side
    322,410.53x = 82,938,334,082.61
  5. Step 5: Solve for x
    x = 82,938,334,082.61/322,410.53
  6. Step 6: Final answer
    x = 257,244.50

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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.