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Finding the Fourth Proportional to 322,014.48, 482,866.36 and 134,975.76

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Solution

The fourth proportional to 322,014.48, 482,866.36 and 134,975.76 is: 202,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,014.48 : 482,866.36 = 134,975.76 : x
  2. Step 2: Convert to fraction form
    322,014.48/482,866.36 = 134,975.76/x
  3. Step 3: Cross multiply
    322,014.48x = 482,866.36 × 134,975.76
  4. Step 4: Simplify right side
    322,014.48x = 65,175,253,919.43
  5. Step 5: Solve for x
    x = 65,175,253,919.43/322,014.48
  6. Step 6: Final answer
    x = 202,398.52

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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.