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Finding the Fourth Proportional to 299,591.46, 413,433.96 and 163,625.47

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Solution

The fourth proportional to 299,591.46, 413,433.96 and 163,625.47 is: 225,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,591.46 : 413,433.96 = 163,625.47 : x
  2. Step 2: Convert to fraction form
    299,591.46/413,433.96 = 163,625.47/x
  3. Step 3: Cross multiply
    299,591.46x = 413,433.96 × 163,625.47
  4. Step 4: Simplify right side
    299,591.46x = 67,648,324,371.78
  5. Step 5: Solve for x
    x = 67,648,324,371.78/299,591.46
  6. Step 6: Final answer
    x = 225,801.91

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1.5x scale

Why These Related Problems?

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