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Finding the Fourth Proportional to 375,269.40, 517,856.22 and 205,500.60

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Solution

The fourth proportional to 375,269.40, 517,856.22 and 205,500.60 is: 283,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,269.40 : 517,856.22 = 205,500.60 : x
  2. Step 2: Convert to fraction form
    375,269.40/517,856.22 = 205,500.60/x
  3. Step 3: Cross multiply
    375,269.40x = 517,856.22 × 205,500.60
  4. Step 4: Simplify right side
    375,269.40x = 106,419,763,923.73
  5. Step 5: Solve for x
    x = 106,419,763,923.73/375,269.40
  6. Step 6: Final answer
    x = 283,582.31

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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.