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Finding the Fourth Proportional to 472,234.92, 708,369.66 and 191,745.96

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Solution

The fourth proportional to 472,234.92, 708,369.66 and 191,745.96 is: 287,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,234.92 : 708,369.66 = 191,745.96 : x
  2. Step 2: Convert to fraction form
    472,234.92/708,369.66 = 191,745.96/x
  3. Step 3: Cross multiply
    472,234.92x = 708,369.66 × 191,745.96
  4. Step 4: Simplify right side
    472,234.92x = 135,827,020,491.57
  5. Step 5: Solve for x
    x = 135,827,020,491.57/472,234.92
  6. Step 6: Final answer
    x = 287,625.96

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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.