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Finding the Fourth Proportional to 283,640.60, 425,432.10 and 96,649.40

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Solution

The fourth proportional to 283,640.60, 425,432.10 and 96,649.40 is: 144,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,640.60 : 425,432.10 = 96,649.40 : x
  2. Step 2: Convert to fraction form
    283,640.60/425,432.10 = 96,649.40/x
  3. Step 3: Cross multiply
    283,640.60x = 425,432.10 × 96,649.40
  4. Step 4: Simplify right side
    283,640.60x = 41,117,757,205.74
  5. Step 5: Solve for x
    x = 41,117,757,205.74/283,640.60
  6. Step 6: Final answer
    x = 144,964.29

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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.