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Finding the Fourth Proportional to 269,323.20, 403,401.60 and 174,844.80

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Solution

The fourth proportional to 269,323.20, 403,401.60 and 174,844.80 is: 261,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,323.20 : 403,401.60 = 174,844.80 : x
  2. Step 2: Convert to fraction form
    269,323.20/403,401.60 = 174,844.80/x
  3. Step 3: Cross multiply
    269,323.20x = 403,401.60 × 174,844.80
  4. Step 4: Simplify right side
    269,323.20x = 70,532,672,071.68
  5. Step 5: Solve for x
    x = 70,532,672,071.68/269,323.20
  6. Step 6: Final answer
    x = 261,888.59

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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.