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Finding the Fourth Proportional to 540,909.50, 811,418.31 and 185,876.78

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Solution

The fourth proportional to 540,909.50, 811,418.31 and 185,876.78 is: 278,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,909.50 : 811,418.31 = 185,876.78 : x
  2. Step 2: Convert to fraction form
    540,909.50/811,418.31 = 185,876.78/x
  3. Step 3: Cross multiply
    540,909.50x = 811,418.31 × 185,876.78
  4. Step 4: Simplify right side
    540,909.50x = 150,823,818,638.75
  5. Step 5: Solve for x
    x = 150,823,818,638.75/540,909.50
  6. Step 6: Final answer
    x = 278,833.74

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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.