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Finding the Fourth Proportional to 292,982.36, 404,323.62 and 165,677

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Solution

The fourth proportional to 292,982.36, 404,323.62 and 165,677 is: 228,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,982.36 : 404,323.62 = 165,677 : x
  2. Step 2: Convert to fraction form
    292,982.36/404,323.62 = 165,677/x
  3. Step 3: Cross multiply
    292,982.36x = 404,323.62 × 165,677
  4. Step 4: Simplify right side
    292,982.36x = 66,987,124,390.74
  5. Step 5: Solve for x
    x = 66,987,124,390.74/292,982.36
  6. Step 6: Final answer
    x = 228,638.76

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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.