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Finding the Fourth Proportional to 311,402.86, 467,251.91 and 185,292.23

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Solution

The fourth proportional to 311,402.86, 467,251.91 and 185,292.23 is: 278,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,402.86 : 467,251.91 = 185,292.23 : x
  2. Step 2: Convert to fraction form
    311,402.86/467,251.91 = 185,292.23/x
  3. Step 3: Cross multiply
    311,402.86x = 467,251.91 × 185,292.23
  4. Step 4: Simplify right side
    311,402.86x = 86,578,148,375.66
  5. Step 5: Solve for x
    x = 86,578,148,375.66/311,402.86
  6. Step 6: Final answer
    x = 278,026.18

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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.