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Finding the Fourth Proportional to 484,217.40, 726,228.90 and 231,497.40

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Solution

The fourth proportional to 484,217.40, 726,228.90 and 231,497.40 is: 347,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,217.40 : 726,228.90 = 231,497.40 : x
  2. Step 2: Convert to fraction form
    484,217.40/726,228.90 = 231,497.40/x
  3. Step 3: Cross multiply
    484,217.40x = 726,228.90 × 231,497.40
  4. Step 4: Simplify right side
    484,217.40x = 168,120,102,154.86
  5. Step 5: Solve for x
    x = 168,120,102,154.86/484,217.40
  6. Step 6: Final answer
    x = 347,199.63

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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.