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Finding the Fourth Proportional to 322,404.60, 482,950.80 and 164,721.90

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Solution

The fourth proportional to 322,404.60, 482,950.80 and 164,721.90 is: 246,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,404.60 : 482,950.80 = 164,721.90 : x
  2. Step 2: Convert to fraction form
    322,404.60/482,950.80 = 164,721.90/x
  3. Step 3: Cross multiply
    322,404.60x = 482,950.80 × 164,721.90
  4. Step 4: Simplify right side
    322,404.60x = 79,552,573,382.52
  5. Step 5: Solve for x
    x = 79,552,573,382.52/322,404.60
  6. Step 6: Final answer
    x = 246,747.64

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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.