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Finding the Fourth Proportional to 582,871.50, 873,723.57 and 227,396.46

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Solution

The fourth proportional to 582,871.50, 873,723.57 and 227,396.46 is: 340,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,871.50 : 873,723.57 = 227,396.46 : x
  2. Step 2: Convert to fraction form
    582,871.50/873,723.57 = 227,396.46/x
  3. Step 3: Cross multiply
    582,871.50x = 873,723.57 × 227,396.46
  4. Step 4: Simplify right side
    582,871.50x = 198,681,646,836.56
  5. Step 5: Solve for x
    x = 198,681,646,836.56/582,871.50
  6. Step 6: Final answer
    x = 340,866.98

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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.