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Finding the Fourth Proportional to 322,291.20, 482,918.40 and 203,750.40

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Solution

The fourth proportional to 322,291.20, 482,918.40 and 203,750.40 is: 305,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,291.20 : 482,918.40 = 203,750.40 : x
  2. Step 2: Convert to fraction form
    322,291.20/482,918.40 = 203,750.40/x
  3. Step 3: Cross multiply
    322,291.20x = 482,918.40 × 203,750.40
  4. Step 4: Simplify right side
    322,291.20x = 98,394,817,167.36
  5. Step 5: Solve for x
    x = 98,394,817,167.36/322,291.20
  6. Step 6: Final answer
    x = 305,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.