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Finding the Fourth Proportional to 292,874.24, 404,150.64 and 165,542.24

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Solution

The fourth proportional to 292,874.24, 404,150.64 and 165,542.24 is: 228,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,874.24 : 404,150.64 = 165,542.24 : x
  2. Step 2: Convert to fraction form
    292,874.24/404,150.64 = 165,542.24/x
  3. Step 3: Cross multiply
    292,874.24x = 404,150.64 × 165,542.24
  4. Step 4: Simplify right side
    292,874.24x = 66,904,002,243.03
  5. Step 5: Solve for x
    x = 66,904,002,243.03/292,874.24
  6. Step 6: Final answer
    x = 228,439.35

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1.5x scale

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.