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Finding the Fourth Proportional to 293,044.88, 404,410.74 and 165,717.92

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Solution

The fourth proportional to 293,044.88, 404,410.74 and 165,717.92 is: 228,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,044.88 : 404,410.74 = 165,717.92 : x
  2. Step 2: Convert to fraction form
    293,044.88/404,410.74 = 165,717.92/x
  3. Step 3: Cross multiply
    293,044.88x = 404,410.74 × 165,717.92
  4. Step 4: Simplify right side
    293,044.88x = 67,018,106,658.46
  5. Step 5: Solve for x
    x = 67,018,106,658.46/293,044.88
  6. Step 6: Final answer
    x = 228,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.