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Finding the Fourth Proportional to 410,286.68, 566,224.14 and 229,033.99

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Solution

The fourth proportional to 410,286.68, 566,224.14 and 229,033.99 is: 316,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,286.68 : 566,224.14 = 229,033.99 : x
  2. Step 2: Convert to fraction form
    410,286.68/566,224.14 = 229,033.99/x
  3. Step 3: Cross multiply
    410,286.68x = 566,224.14 × 229,033.99
  4. Step 4: Simplify right side
    410,286.68x = 129,684,574,018.52
  5. Step 5: Solve for x
    x = 129,684,574,018.52/410,286.68
  6. Step 6: Final answer
    x = 316,082.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.