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Finding the Fourth Proportional to 360,519.54, 497,514.06 and 199,381.38

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Solution

The fourth proportional to 360,519.54, 497,514.06 and 199,381.38 is: 275,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,519.54 : 497,514.06 = 199,381.38 : x
  2. Step 2: Convert to fraction form
    360,519.54/497,514.06 = 199,381.38/x
  3. Step 3: Cross multiply
    360,519.54x = 497,514.06 × 199,381.38
  4. Step 4: Simplify right side
    360,519.54x = 99,195,039,852.20
  5. Step 5: Solve for x
    x = 99,195,039,852.20/360,519.54
  6. Step 6: Final answer
    x = 275,144.70

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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.