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Finding the Fourth Proportional to 464,757.60, 696,996.80 and 165,198.80

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Solution

The fourth proportional to 464,757.60, 696,996.80 and 165,198.80 is: 247,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,757.60 : 696,996.80 = 165,198.80 : x
  2. Step 2: Convert to fraction form
    464,757.60/696,996.80 = 165,198.80/x
  3. Step 3: Cross multiply
    464,757.60x = 696,996.80 × 165,198.80
  4. Step 4: Simplify right side
    464,757.60x = 115,143,034,963.84
  5. Step 5: Solve for x
    x = 115,143,034,963.84/464,757.60
  6. Step 6: Final answer
    x = 247,748.58

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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.