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Finding the Fourth Proportional to 311,291.76, 466,992.36 and 128,920.56

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Solution

The fourth proportional to 311,291.76, 466,992.36 and 128,920.56 is: 193,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,291.76 : 466,992.36 = 128,920.56 : x
  2. Step 2: Convert to fraction form
    311,291.76/466,992.36 = 128,920.56/x
  3. Step 3: Cross multiply
    311,291.76x = 466,992.36 × 128,920.56
  4. Step 4: Simplify right side
    311,291.76x = 60,204,916,566.92
  5. Step 5: Solve for x
    x = 60,204,916,566.92/311,291.76
  6. Step 6: Final answer
    x = 193,403.50

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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.