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Finding the Fourth Proportional to 465,797.82, 698,198.42 and 240,931.86

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Solution

The fourth proportional to 465,797.82, 698,198.42 and 240,931.86 is: 361,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,797.82 : 698,198.42 = 240,931.86 : x
  2. Step 2: Convert to fraction form
    465,797.82/698,198.42 = 240,931.86/x
  3. Step 3: Cross multiply
    465,797.82x = 698,198.42 × 240,931.86
  4. Step 4: Simplify right side
    465,797.82x = 168,218,242,775.00
  5. Step 5: Solve for x
    x = 168,218,242,775.00/465,797.82
  6. Step 6: Final answer
    x = 361,140.04

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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.