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Finding the Fourth Proportional to 360,793.40, 497,919.80 and 199,655.24

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Solution

The fourth proportional to 360,793.40, 497,919.80 and 199,655.24 is: 275,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,793.40 : 497,919.80 = 199,655.24 : x
  2. Step 2: Convert to fraction form
    360,793.40/497,919.80 = 199,655.24/x
  3. Step 3: Cross multiply
    360,793.40x = 497,919.80 × 199,655.24
  4. Step 4: Simplify right side
    360,793.40x = 99,412,297,169.75
  5. Step 5: Solve for x
    x = 99,412,297,169.75/360,793.40
  6. Step 6: Final answer
    x = 275,538.01

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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.