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Finding the Fourth Proportional to 484,324.19, 726,234.56 and 142,722.81

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Solution

The fourth proportional to 484,324.19, 726,234.56 and 142,722.81 is: 214,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,324.19 : 726,234.56 = 142,722.81 : x
  2. Step 2: Convert to fraction form
    484,324.19/726,234.56 = 142,722.81/x
  3. Step 3: Cross multiply
    484,324.19x = 726,234.56 × 142,722.81
  4. Step 4: Simplify right side
    484,324.19x = 103,650,236,943.91
  5. Step 5: Solve for x
    x = 103,650,236,943.91/484,324.19
  6. Step 6: Final answer
    x = 214,010.04

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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.