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Finding the Fourth Proportional to 292,961.44, 404,302.80 and 165,648.16

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Solution

The fourth proportional to 292,961.44, 404,302.80 and 165,648.16 is: 228,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,961.44 : 404,302.80 = 165,648.16 : x
  2. Step 2: Convert to fraction form
    292,961.44/404,302.80 = 165,648.16/x
  3. Step 3: Cross multiply
    292,961.44x = 404,302.80 × 165,648.16
  4. Step 4: Simplify right side
    292,961.44x = 66,972,014,902.85
  5. Step 5: Solve for x
    x = 66,972,014,902.85/292,961.44
  6. Step 6: Final answer
    x = 228,603.51

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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.