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Finding the Fourth Proportional to 283,019.70, 424,517.40 and 96,031.20

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Solution

The fourth proportional to 283,019.70, 424,517.40 and 96,031.20 is: 144,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,019.70 : 424,517.40 = 96,031.20 : x
  2. Step 2: Convert to fraction form
    283,019.70/424,517.40 = 96,031.20/x
  3. Step 3: Cross multiply
    283,019.70x = 424,517.40 × 96,031.20
  4. Step 4: Simplify right side
    283,019.70x = 40,766,915,342.88
  5. Step 5: Solve for x
    x = 40,766,915,342.88/283,019.70
  6. Step 6: Final answer
    x = 144,042.68

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1.5x scale

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.