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Finding the Fourth Proportional to 322,847.84, 484,349.40 and 101,231.84

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Solution

The fourth proportional to 322,847.84, 484,349.40 and 101,231.84 is: 151,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,847.84 : 484,349.40 = 101,231.84 : x
  2. Step 2: Convert to fraction form
    322,847.84/484,349.40 = 101,231.84/x
  3. Step 3: Cross multiply
    322,847.84x = 484,349.40 × 101,231.84
  4. Step 4: Simplify right side
    322,847.84x = 49,031,580,964.90
  5. Step 5: Solve for x
    x = 49,031,580,964.90/322,847.84
  6. Step 6: Final answer
    x = 151,872.10

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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.