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Finding the Fourth Proportional to 465,168.60, 697,309.97 and 149,404.10

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Solution

The fourth proportional to 465,168.60, 697,309.97 and 149,404.10 is: 223,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,168.60 : 697,309.97 = 149,404.10 : x
  2. Step 2: Convert to fraction form
    465,168.60/697,309.97 = 149,404.10/x
  3. Step 3: Cross multiply
    465,168.60x = 697,309.97 × 149,404.10
  4. Step 4: Simplify right side
    465,168.60x = 104,180,964,255.31
  5. Step 5: Solve for x
    x = 104,180,964,255.31/465,168.60
  6. Step 6: Final answer
    x = 223,963.88

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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.