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Finding the Fourth Proportional to 467,223.62, 700,997.96 and 147,424.82

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Solution

The fourth proportional to 467,223.62, 700,997.96 and 147,424.82 is: 221,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,223.62 : 700,997.96 = 147,424.82 : x
  2. Step 2: Convert to fraction form
    467,223.62/700,997.96 = 147,424.82/x
  3. Step 3: Cross multiply
    467,223.62x = 700,997.96 × 147,424.82
  4. Step 4: Simplify right side
    467,223.62x = 103,344,494,936.94
  5. Step 5: Solve for x
    x = 103,344,494,936.94/467,223.62
  6. Step 6: Final answer
    x = 221,188.51

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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.