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Finding the Fourth Proportional to 293,178.72, 404,558.52 and 165,829.44

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Solution

The fourth proportional to 293,178.72, 404,558.52 and 165,829.44 is: 228,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,178.72 : 404,558.52 = 165,829.44 : x
  2. Step 2: Convert to fraction form
    293,178.72/404,558.52 = 165,829.44/x
  3. Step 3: Cross multiply
    293,178.72x = 404,558.52 × 165,829.44
  4. Step 4: Simplify right side
    293,178.72x = 67,087,712,818.83
  5. Step 5: Solve for x
    x = 67,087,712,818.83/293,178.72
  6. Step 6: Final answer
    x = 228,828.73

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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.