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Finding the Fourth Proportional to 284,270.26, 392,287.10 and 163,408.44

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Solution

The fourth proportional to 284,270.26, 392,287.10 and 163,408.44 is: 225,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,270.26 : 392,287.10 = 163,408.44 : x
  2. Step 2: Convert to fraction form
    284,270.26/392,287.10 = 163,408.44/x
  3. Step 3: Cross multiply
    284,270.26x = 392,287.10 × 163,408.44
  4. Step 4: Simplify right side
    284,270.26x = 64,103,023,043.12
  5. Step 5: Solve for x
    x = 64,103,023,043.12/284,270.26
  6. Step 6: Final answer
    x = 225,500.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.