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Finding the Fourth Proportional to 269,610.88, 401,648.80 and 257,480.32

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Solution

The fourth proportional to 269,610.88, 401,648.80 and 257,480.32 is: 383,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,610.88 : 401,648.80 = 257,480.32 : x
  2. Step 2: Convert to fraction form
    269,610.88/401,648.80 = 257,480.32/x
  3. Step 3: Cross multiply
    269,610.88x = 401,648.80 × 257,480.32
  4. Step 4: Simplify right side
    269,610.88x = 103,416,661,551.62
  5. Step 5: Solve for x
    x = 103,416,661,551.62/269,610.88
  6. Step 6: Final answer
    x = 383,577.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.