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Finding the Fourth Proportional to 292,905.76, 404,227.38 and 165,593.20

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Solution

The fourth proportional to 292,905.76, 404,227.38 and 165,593.20 is: 228,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,905.76 : 404,227.38 = 165,593.20 : x
  2. Step 2: Convert to fraction form
    292,905.76/404,227.38 = 165,593.20/x
  3. Step 3: Cross multiply
    292,905.76x = 404,227.38 × 165,593.20
  4. Step 4: Simplify right side
    292,905.76x = 66,937,305,381.82
  5. Step 5: Solve for x
    x = 66,937,305,381.82/292,905.76
  6. Step 6: Final answer
    x = 228,528.47

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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.