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Finding the Fourth Proportional to 375,780.92, 518,577.12 and 206,025.92

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Solution

The fourth proportional to 375,780.92, 518,577.12 and 206,025.92 is: 284,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,780.92 : 518,577.12 = 206,025.92 : x
  2. Step 2: Convert to fraction form
    375,780.92/518,577.12 = 206,025.92/x
  3. Step 3: Cross multiply
    375,780.92x = 518,577.12 × 206,025.92
  4. Step 4: Simplify right side
    375,780.92x = 106,840,328,238.95
  5. Step 5: Solve for x
    x = 106,840,328,238.95/375,780.92
  6. Step 6: Final answer
    x = 284,315.47

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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.