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Finding the Fourth Proportional to 322,012.48, 482,863.36 and 134,973.76

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Solution

The fourth proportional to 322,012.48, 482,863.36 and 134,973.76 is: 202,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,012.48 : 482,863.36 = 134,973.76 : x
  2. Step 2: Convert to fraction form
    322,012.48/482,863.36 = 134,973.76/x
  3. Step 3: Cross multiply
    322,012.48x = 482,863.36 × 134,973.76
  4. Step 4: Simplify right side
    322,012.48x = 65,173,883,265.43
  5. Step 5: Solve for x
    x = 65,173,883,265.43/322,012.48
  6. Step 6: Final answer
    x = 202,395.52

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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.