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Finding the Fourth Proportional to 472,364.72, 708,285.96 and 187,766.96

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Solution

The fourth proportional to 472,364.72, 708,285.96 and 187,766.96 is: 281,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,364.72 : 708,285.96 = 187,766.96 : x
  2. Step 2: Convert to fraction form
    472,364.72/708,285.96 = 187,766.96/x
  3. Step 3: Cross multiply
    472,364.72x = 708,285.96 × 187,766.96
  4. Step 4: Simplify right side
    472,364.72x = 132,992,701,519.88
  5. Step 5: Solve for x
    x = 132,992,701,519.88/472,364.72
  6. Step 6: Final answer
    x = 281,546.64

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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.