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Finding the Fourth Proportional to 472,612.73, 708,963.23 and 188,234.69

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Solution

The fourth proportional to 472,612.73, 708,963.23 and 188,234.69 is: 282,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,612.73 : 708,963.23 = 188,234.69 : x
  2. Step 2: Convert to fraction form
    472,612.73/708,963.23 = 188,234.69/x
  3. Step 3: Cross multiply
    472,612.73x = 708,963.23 × 188,234.69
  4. Step 4: Simplify right side
    472,612.73x = 133,451,470,746.22
  5. Step 5: Solve for x
    x = 133,451,470,746.22/472,612.73
  6. Step 6: Final answer
    x = 282,369.61

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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.