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Finding the Fourth Proportional to 375,964.83, 518,834.03 and 206,200.17

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Solution

The fourth proportional to 375,964.83, 518,834.03 and 206,200.17 is: 284,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,964.83 : 518,834.03 = 206,200.17 : x
  2. Step 2: Convert to fraction form
    375,964.83/518,834.03 = 206,200.17/x
  3. Step 3: Cross multiply
    375,964.83x = 518,834.03 × 206,200.17
  4. Step 4: Simplify right side
    375,964.83x = 106,983,664,156.78
  5. Step 5: Solve for x
    x = 106,983,664,156.78/375,964.83
  6. Step 6: Final answer
    x = 284,557.64

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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.