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Finding the Fourth Proportional to 387,267.44, 580,960.32 and 197,624.48

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Solution

The fourth proportional to 387,267.44, 580,960.32 and 197,624.48 is: 296,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,267.44 : 580,960.32 = 197,624.48 : x
  2. Step 2: Convert to fraction form
    387,267.44/580,960.32 = 197,624.48/x
  3. Step 3: Cross multiply
    387,267.44x = 580,960.32 × 197,624.48
  4. Step 4: Simplify right side
    387,267.44x = 114,811,981,140.63
  5. Step 5: Solve for x
    x = 114,811,981,140.63/387,267.44
  6. Step 6: Final answer
    x = 296,466.91

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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.