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Finding the Fourth Proportional to 311,892.69, 467,856.06 and 98,644.68

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Solution

The fourth proportional to 311,892.69, 467,856.06 and 98,644.68 is: 147,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892.69 : 467,856.06 = 98,644.68 : x
  2. Step 2: Convert to fraction form
    311,892.69/467,856.06 = 98,644.68/x
  3. Step 3: Cross multiply
    311,892.69x = 467,856.06 × 98,644.68
  4. Step 4: Simplify right side
    311,892.69x = 46,151,510,954.84
  5. Step 5: Solve for x
    x = 46,151,510,954.84/311,892.69
  6. Step 6: Final answer
    x = 147,972.40

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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.