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Finding the Fourth Proportional to 293,114.52, 404,483.76 and 165,787.38

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Solution

The fourth proportional to 293,114.52, 404,483.76 and 165,787.38 is: 228,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,114.52 : 404,483.76 = 165,787.38 : x
  2. Step 2: Convert to fraction form
    293,114.52/404,483.76 = 165,787.38/x
  3. Step 3: Cross multiply
    293,114.52x = 404,483.76 × 165,787.38
  4. Step 4: Simplify right side
    293,114.52x = 67,058,302,822.95
  5. Step 5: Solve for x
    x = 67,058,302,822.95/293,114.52
  6. Step 6: Final answer
    x = 228,778.51

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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.