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Finding the Fourth Proportional to 394,685.79, 591,019.92 and 216,997.50

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Solution

The fourth proportional to 394,685.79, 591,019.92 and 216,997.50 is: 324,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,685.79 : 591,019.92 = 216,997.50 : x
  2. Step 2: Convert to fraction form
    394,685.79/591,019.92 = 216,997.50/x
  3. Step 3: Cross multiply
    394,685.79x = 591,019.92 × 216,997.50
  4. Step 4: Simplify right side
    394,685.79x = 128,249,847,306.53
  5. Step 5: Solve for x
    x = 128,249,847,306.53/394,685.79
  6. Step 6: Final answer
    x = 324,941.64

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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.