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Finding the Fourth Proportional to 484,673.72, 727,010.94 and 231,894.56

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Solution

The fourth proportional to 484,673.72, 727,010.94 and 231,894.56 is: 347,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,673.72 : 727,010.94 = 231,894.56 : x
  2. Step 2: Convert to fraction form
    484,673.72/727,010.94 = 231,894.56/x
  3. Step 3: Cross multiply
    484,673.72x = 727,010.94 × 231,894.56
  4. Step 4: Simplify right side
    484,673.72x = 168,589,882,046.49
  5. Step 5: Solve for x
    x = 168,589,882,046.49/484,673.72
  6. Step 6: Final answer
    x = 347,842.01

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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.