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Finding the Fourth Proportional to 269,401.60, 404,102.40 and 176,012.80

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Solution

The fourth proportional to 269,401.60, 404,102.40 and 176,012.80 is: 264,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,401.60 : 404,102.40 = 176,012.80 : x
  2. Step 2: Convert to fraction form
    269,401.60/404,102.40 = 176,012.80/x
  3. Step 3: Cross multiply
    269,401.60x = 404,102.40 × 176,012.80
  4. Step 4: Simplify right side
    269,401.60x = 71,127,194,910.72
  5. Step 5: Solve for x
    x = 71,127,194,910.72/269,401.60
  6. Step 6: Final answer
    x = 264,019.20

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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.