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Finding the Fourth Proportional to 323,414.47, 485,195.52 and 98,806.84

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Solution

The fourth proportional to 323,414.47, 485,195.52 and 98,806.84 is: 148,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,414.47 : 485,195.52 = 98,806.84 : x
  2. Step 2: Convert to fraction form
    323,414.47/485,195.52 = 98,806.84/x
  3. Step 3: Cross multiply
    323,414.47x = 485,195.52 × 98,806.84
  4. Step 4: Simplify right side
    323,414.47x = 47,940,634,715.11
  5. Step 5: Solve for x
    x = 47,940,634,715.11/323,414.47
  6. Step 6: Final answer
    x = 148,232.81

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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.