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Finding the Fourth Proportional to 375,822.56, 518,634.42 and 206,056.28

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Solution

The fourth proportional to 375,822.56, 518,634.42 and 206,056.28 is: 284,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,822.56 : 518,634.42 = 206,056.28 : x
  2. Step 2: Convert to fraction form
    375,822.56/518,634.42 = 206,056.28/x
  3. Step 3: Cross multiply
    375,822.56x = 518,634.42 × 206,056.28
  4. Step 4: Simplify right side
    375,822.56x = 106,867,879,265.16
  5. Step 5: Solve for x
    x = 106,867,879,265.16/375,822.56
  6. Step 6: Final answer
    x = 284,357.28

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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.