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Finding the Fourth Proportional to 376,512, 564,648.24 and 123,734.16

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Solution

The fourth proportional to 376,512, 564,648.24 and 123,734.16 is: 185,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,512 : 564,648.24 = 123,734.16 : x
  2. Step 2: Convert to fraction form
    376,512/564,648.24 = 123,734.16/x
  3. Step 3: Cross multiply
    376,512x = 564,648.24 × 123,734.16
  4. Step 4: Simplify right side
    376,512x = 69,866,275,671.88
  5. Step 5: Solve for x
    x = 69,866,275,671.88/376,512
  6. Step 6: Final answer
    x = 185,561.88

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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.