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Finding the Fourth Proportional to 484,731.16, 726,759.43 and 214,712.71

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Solution

The fourth proportional to 484,731.16, 726,759.43 and 214,712.71 is: 321,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,731.16 : 726,759.43 = 214,712.71 : x
  2. Step 2: Convert to fraction form
    484,731.16/726,759.43 = 214,712.71/x
  3. Step 3: Cross multiply
    484,731.16x = 726,759.43 × 214,712.71
  4. Step 4: Simplify right side
    484,731.16x = 156,044,486,733.36
  5. Step 5: Solve for x
    x = 156,044,486,733.36/484,731.16
  6. Step 6: Final answer
    x = 321,919.65

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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.