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Finding the Fourth Proportional to 367,002.84, 550,317.45 and 142,427.71

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Solution

The fourth proportional to 367,002.84, 550,317.45 and 142,427.71 is: 213,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002.84 : 550,317.45 = 142,427.71 : x
  2. Step 2: Convert to fraction form
    367,002.84/550,317.45 = 142,427.71/x
  3. Step 3: Cross multiply
    367,002.84x = 550,317.45 × 142,427.71
  4. Step 4: Simplify right side
    367,002.84x = 78,380,451,424.95
  5. Step 5: Solve for x
    x = 78,380,451,424.95/367,002.84
  6. Step 6: Final answer
    x = 213,569.06

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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.