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Finding the Fourth Proportional to 484,364.44, 726,509.82 and 214,576.12

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Solution

The fourth proportional to 484,364.44, 726,509.82 and 214,576.12 is: 321,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,364.44 : 726,509.82 = 214,576.12 : x
  2. Step 2: Convert to fraction form
    484,364.44/726,509.82 = 214,576.12/x
  3. Step 3: Cross multiply
    484,364.44x = 726,509.82 × 214,576.12
  4. Step 4: Simplify right side
    484,364.44x = 155,891,658,317.50
  5. Step 5: Solve for x
    x = 155,891,658,317.50/484,364.44
  6. Step 6: Final answer
    x = 321,847.86

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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.