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Finding the Fourth Proportional to 292,717.52, 403,958.16 and 165,390.56

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Solution

The fourth proportional to 292,717.52, 403,958.16 and 165,390.56 is: 228,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,717.52 : 403,958.16 = 165,390.56 : x
  2. Step 2: Convert to fraction form
    292,717.52/403,958.16 = 165,390.56/x
  3. Step 3: Cross multiply
    292,717.52x = 403,958.16 × 165,390.56
  4. Step 4: Simplify right side
    292,717.52x = 66,810,866,298.97
  5. Step 5: Solve for x
    x = 66,810,866,298.97/292,717.52
  6. Step 6: Final answer
    x = 228,243.48

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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.