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Finding the Fourth Proportional to 299,092.40, 412,514.13 and 191,672.42

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Solution

The fourth proportional to 299,092.40, 412,514.13 and 191,672.42 is: 264,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.40 : 412,514.13 = 191,672.42 : x
  2. Step 2: Convert to fraction form
    299,092.40/412,514.13 = 191,672.42/x
  3. Step 3: Cross multiply
    299,092.40x = 412,514.13 × 191,672.42
  4. Step 4: Simplify right side
    299,092.40x = 79,067,581,581.29
  5. Step 5: Solve for x
    x = 79,067,581,581.29/299,092.40
  6. Step 6: Final answer
    x = 264,358.38

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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.