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Finding the Fourth Proportional to 283,310.40, 424,965.60 and 158,635.20

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Solution

The fourth proportional to 283,310.40, 424,965.60 and 158,635.20 is: 237,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,310.40 : 424,965.60 = 158,635.20 : x
  2. Step 2: Convert to fraction form
    283,310.40/424,965.60 = 158,635.20/x
  3. Step 3: Cross multiply
    283,310.40x = 424,965.60 × 158,635.20
  4. Step 4: Simplify right side
    283,310.40x = 67,414,502,949.12
  5. Step 5: Solve for x
    x = 67,414,502,949.12/283,310.40
  6. Step 6: Final answer
    x = 237,952.80

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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.