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Finding the Fourth Proportional to 375,753.11, 518,546.54 and 205,977.11

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Solution

The fourth proportional to 375,753.11, 518,546.54 and 205,977.11 is: 284,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,753.11 : 518,546.54 = 205,977.11 : x
  2. Step 2: Convert to fraction form
    375,753.11/518,546.54 = 205,977.11/x
  3. Step 3: Cross multiply
    375,753.11x = 518,546.54 × 205,977.11
  4. Step 4: Simplify right side
    375,753.11x = 106,808,715,631.91
  5. Step 5: Solve for x
    x = 106,808,715,631.91/375,753.11
  6. Step 6: Final answer
    x = 284,252.38

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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.