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Finding the Fourth Proportional to 324,061.10, 486,091.65 and 174,761.90

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Solution

The fourth proportional to 324,061.10, 486,091.65 and 174,761.90 is: 262,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,061.10 : 486,091.65 = 174,761.90 : x
  2. Step 2: Convert to fraction form
    324,061.10/486,091.65 = 174,761.90/x
  3. Step 3: Cross multiply
    324,061.10x = 486,091.65 × 174,761.90
  4. Step 4: Simplify right side
    324,061.10x = 84,950,300,328.14
  5. Step 5: Solve for x
    x = 84,950,300,328.14/324,061.10
  6. Step 6: Final answer
    x = 262,142.85

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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.