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Finding the Fourth Proportional to 465,773.76, 698,749.92 and 150,145.92

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Solution

The fourth proportional to 465,773.76, 698,749.92 and 150,145.92 is: 225,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,773.76 : 698,749.92 = 150,145.92 : x
  2. Step 2: Convert to fraction form
    465,773.76/698,749.92 = 150,145.92/x
  3. Step 3: Cross multiply
    465,773.76x = 698,749.92 × 150,145.92
  4. Step 4: Simplify right side
    465,773.76x = 104,914,449,588.33
  5. Step 5: Solve for x
    x = 104,914,449,588.33/465,773.76
  6. Step 6: Final answer
    x = 225,247.66

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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.