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Finding the Fourth Proportional to 317,701.86, 476,552.97 and 199,456.25

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Solution

The fourth proportional to 317,701.86, 476,552.97 and 199,456.25 is: 299,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,701.86 : 476,552.97 = 199,456.25 : x
  2. Step 2: Convert to fraction form
    317,701.86/476,552.97 = 199,456.25/x
  3. Step 3: Cross multiply
    317,701.86x = 476,552.97 × 199,456.25
  4. Step 4: Simplify right side
    317,701.86x = 95,051,465,939.80
  5. Step 5: Solve for x
    x = 95,051,465,939.80/317,701.86
  6. Step 6: Final answer
    x = 299,184.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.