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Finding the Fourth Proportional to 299,633.44, 413,515.92 and 172,348.96

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Solution

The fourth proportional to 299,633.44, 413,515.92 and 172,348.96 is: 237,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,633.44 : 413,515.92 = 172,348.96 : x
  2. Step 2: Convert to fraction form
    299,633.44/413,515.92 = 172,348.96/x
  3. Step 3: Cross multiply
    299,633.44x = 413,515.92 × 172,348.96
  4. Step 4: Simplify right side
    299,633.44x = 71,269,038,755.44
  5. Step 5: Solve for x
    x = 71,269,038,755.44/299,633.44
  6. Step 6: Final answer
    x = 237,854.09

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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.