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Finding the Fourth Proportional to 322,029.60, 482,748.81 and 111,519.91

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Solution

The fourth proportional to 322,029.60, 482,748.81 and 111,519.91 is: 167,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,029.60 : 482,748.81 = 111,519.91 : x
  2. Step 2: Convert to fraction form
    322,029.60/482,748.81 = 111,519.91/x
  3. Step 3: Cross multiply
    322,029.60x = 482,748.81 × 111,519.91
  4. Step 4: Simplify right side
    322,029.60x = 53,836,106,014.07
  5. Step 5: Solve for x
    x = 53,836,106,014.07/322,029.60
  6. Step 6: Final answer
    x = 167,177.51

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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.