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Finding the Fourth Proportional to 388,231.68, 582,347.34 and 107,748.84

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Solution

The fourth proportional to 388,231.68, 582,347.34 and 107,748.84 is: 161,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,231.68 : 582,347.34 = 107,748.84 : x
  2. Step 2: Convert to fraction form
    388,231.68/582,347.34 = 107,748.84/x
  3. Step 3: Cross multiply
    388,231.68x = 582,347.34 × 107,748.84
  4. Step 4: Simplify right side
    388,231.68x = 62,747,250,362.09
  5. Step 5: Solve for x
    x = 62,747,250,362.09/388,231.68
  6. Step 6: Final answer
    x = 161,623.21

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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.