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Finding the Fourth Proportional to 465,692.13, 698,610.69 and 150,180.93

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Solution

The fourth proportional to 465,692.13, 698,610.69 and 150,180.93 is: 225,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,692.13 : 698,610.69 = 150,180.93 : x
  2. Step 2: Convert to fraction form
    465,692.13/698,610.69 = 150,180.93/x
  3. Step 3: Cross multiply
    465,692.13x = 698,610.69 × 150,180.93
  4. Step 4: Simplify right side
    465,692.13x = 104,918,003,132.14
  5. Step 5: Solve for x
    x = 104,918,003,132.14/465,692.13
  6. Step 6: Final answer
    x = 225,294.77

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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.