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Finding the Fourth Proportional to 311,854.27, 467,839.10 and 98,675.85

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Solution

The fourth proportional to 311,854.27, 467,839.10 and 98,675.85 is: 148,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.27 : 467,839.10 = 98,675.85 : x
  2. Step 2: Convert to fraction form
    311,854.27/467,839.10 = 98,675.85/x
  3. Step 3: Cross multiply
    311,854.27x = 467,839.10 × 98,675.85
  4. Step 4: Simplify right side
    311,854.27x = 46,164,420,855.74
  5. Step 5: Solve for x
    x = 46,164,420,855.74/311,854.27
  6. Step 6: Final answer
    x = 148,032.03

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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.