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Finding the Fourth Proportional to 388,233.68, 582,350.34 and 107,750.84

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Solution

The fourth proportional to 388,233.68, 582,350.34 and 107,750.84 is: 161,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,233.68 : 582,350.34 = 107,750.84 : x
  2. Step 2: Convert to fraction form
    388,233.68/582,350.34 = 107,750.84/x
  3. Step 3: Cross multiply
    388,233.68x = 582,350.34 × 107,750.84
  4. Step 4: Simplify right side
    388,233.68x = 62,748,738,309.29
  5. Step 5: Solve for x
    x = 62,748,738,309.29/388,233.68
  6. Step 6: Final answer
    x = 161,626.21

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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.