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Finding the Fourth Proportional to 542,983.64, 814,592.48 and 163,872.64

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Solution

The fourth proportional to 542,983.64, 814,592.48 and 163,872.64 is: 245,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,983.64 : 814,592.48 = 163,872.64 : x
  2. Step 2: Convert to fraction form
    542,983.64/814,592.48 = 163,872.64/x
  3. Step 3: Cross multiply
    542,983.64x = 814,592.48 × 163,872.64
  4. Step 4: Simplify right side
    542,983.64x = 133,489,420,221.75
  5. Step 5: Solve for x
    x = 133,489,420,221.75/542,983.64
  6. Step 6: Final answer
    x = 245,844.28

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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.