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Finding the Fourth Proportional to 364,711.44, 546,997.56 and 154,497.20

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Solution

The fourth proportional to 364,711.44, 546,997.56 and 154,497.20 is: 231,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,711.44 : 546,997.56 = 154,497.20 : x
  2. Step 2: Convert to fraction form
    364,711.44/546,997.56 = 154,497.20/x
  3. Step 3: Cross multiply
    364,711.44x = 546,997.56 × 154,497.20
  4. Step 4: Simplify right side
    364,711.44x = 84,509,591,426.83
  5. Step 5: Solve for x
    x = 84,509,591,426.83/364,711.44
  6. Step 6: Final answer
    x = 231,716.32

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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.