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Finding the Fourth Proportional to 375,179.44, 517,727.12 and 205,380.72

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Solution

The fourth proportional to 375,179.44, 517,727.12 and 205,380.72 is: 283,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,179.44 : 517,727.12 = 205,380.72 : x
  2. Step 2: Convert to fraction form
    375,179.44/517,727.12 = 205,380.72/x
  3. Step 3: Cross multiply
    375,179.44x = 517,727.12 × 205,380.72
  4. Step 4: Simplify right side
    375,179.44x = 106,331,168,669.13
  5. Step 5: Solve for x
    x = 106,331,168,669.13/375,179.44
  6. Step 6: Final answer
    x = 283,414.17

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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.