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Finding the Fourth Proportional to 409,382.96, 614,193.21 and 169,452.68

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Solution

The fourth proportional to 409,382.96, 614,193.21 and 169,452.68 is: 254,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,382.96 : 614,193.21 = 169,452.68 : x
  2. Step 2: Convert to fraction form
    409,382.96/614,193.21 = 169,452.68/x
  3. Step 3: Cross multiply
    409,382.96x = 614,193.21 × 169,452.68
  4. Step 4: Simplify right side
    409,382.96x = 104,076,682,401.34
  5. Step 5: Solve for x
    x = 104,076,682,401.34/409,382.96
  6. Step 6: Final answer
    x = 254,228.18

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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.