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Finding the Fourth Proportional to 465,687.76, 697,947.08 and 199,134.72

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Solution

The fourth proportional to 465,687.76, 697,947.08 and 199,134.72 is: 298,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,687.76 : 697,947.08 = 199,134.72 : x
  2. Step 2: Convert to fraction form
    465,687.76/697,947.08 = 199,134.72/x
  3. Step 3: Cross multiply
    465,687.76x = 697,947.08 × 199,134.72
  4. Step 4: Simplify right side
    465,687.76x = 138,985,496,350.62
  5. Step 5: Solve for x
    x = 138,985,496,350.62/465,687.76
  6. Step 6: Final answer
    x = 298,452.11

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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.