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Finding the Fourth Proportional to 477,183.15, 715,249.85 and 196,547.31

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Solution

The fourth proportional to 477,183.15, 715,249.85 and 196,547.31 is: 294,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,183.15 : 715,249.85 = 196,547.31 : x
  2. Step 2: Convert to fraction form
    477,183.15/715,249.85 = 196,547.31/x
  3. Step 3: Cross multiply
    477,183.15x = 715,249.85 × 196,547.31
  4. Step 4: Simplify right side
    477,183.15x = 140,580,433,012.67
  5. Step 5: Solve for x
    x = 140,580,433,012.67/477,183.15
  6. Step 6: Final answer
    x = 294,604.77

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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.