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Finding the Fourth Proportional to 465,212.28, 697,375.08 and 149,447.46

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Solution

The fourth proportional to 465,212.28, 697,375.08 and 149,447.46 is: 224,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,212.28 : 697,375.08 = 149,447.46 : x
  2. Step 2: Convert to fraction form
    465,212.28/697,375.08 = 149,447.46/x
  3. Step 3: Cross multiply
    465,212.28x = 697,375.08 × 149,447.46
  4. Step 4: Simplify right side
    465,212.28x = 104,220,934,373.30
  5. Step 5: Solve for x
    x = 104,220,934,373.30/465,212.28
  6. Step 6: Final answer
    x = 224,028.77

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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.