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Finding the Fourth Proportional to 409,334.58, 614,067.48 and 172,712.12

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Solution

The fourth proportional to 409,334.58, 614,067.48 and 172,712.12 is: 259,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,334.58 : 614,067.48 = 172,712.12 : x
  2. Step 2: Convert to fraction form
    409,334.58/614,067.48 = 172,712.12/x
  3. Step 3: Cross multiply
    409,334.58x = 614,067.48 × 172,712.12
  4. Step 4: Simplify right side
    409,334.58x = 106,056,896,293.86
  5. Step 5: Solve for x
    x = 106,056,896,293.86/409,334.58
  6. Step 6: Final answer
    x = 259,095.86

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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.