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Finding the Fourth Proportional to 296,098.40, 444,493.20 and 169,839.20

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Solution

The fourth proportional to 296,098.40, 444,493.20 and 169,839.20 is: 254,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,098.40 : 444,493.20 = 169,839.20 : x
  2. Step 2: Convert to fraction form
    296,098.40/444,493.20 = 169,839.20/x
  3. Step 3: Cross multiply
    296,098.40x = 444,493.20 × 169,839.20
  4. Step 4: Simplify right side
    296,098.40x = 75,492,369,493.44
  5. Step 5: Solve for x
    x = 75,492,369,493.44/296,098.40
  6. Step 6: Final answer
    x = 254,957.03

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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.