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Finding the Fourth Proportional to 311,760.18, 467,763.78 and 162,094.86

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Solution

The fourth proportional to 311,760.18, 467,763.78 and 162,094.86 is: 243,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,760.18 : 467,763.78 = 162,094.86 : x
  2. Step 2: Convert to fraction form
    311,760.18/467,763.78 = 162,094.86/x
  3. Step 3: Cross multiply
    311,760.18x = 467,763.78 × 162,094.86
  4. Step 4: Simplify right side
    311,760.18x = 75,822,104,432.17
  5. Step 5: Solve for x
    x = 75,822,104,432.17/311,760.18
  6. Step 6: Final answer
    x = 243,206.51

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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.