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Finding the Fourth Proportional to 484,542.60, 726,846.30 and 164,689.80

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Solution

The fourth proportional to 484,542.60, 726,846.30 and 164,689.80 is: 247,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,542.60 : 726,846.30 = 164,689.80 : x
  2. Step 2: Convert to fraction form
    484,542.60/726,846.30 = 164,689.80/x
  3. Step 3: Cross multiply
    484,542.60x = 726,846.30 × 164,689.80
  4. Step 4: Simplify right side
    484,542.60x = 119,704,171,777.74
  5. Step 5: Solve for x
    x = 119,704,171,777.74/484,542.60
  6. Step 6: Final answer
    x = 247,045.71

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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.