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Finding the Fourth Proportional to 564,369.20, 846,544.50 and 227,401.64

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Solution

The fourth proportional to 564,369.20, 846,544.50 and 227,401.64 is: 341,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,369.20 : 846,544.50 = 227,401.64 : x
  2. Step 2: Convert to fraction form
    564,369.20/846,544.50 = 227,401.64/x
  3. Step 3: Cross multiply
    564,369.20x = 846,544.50 × 227,401.64
  4. Step 4: Simplify right side
    564,369.20x = 192,505,607,632.98
  5. Step 5: Solve for x
    x = 192,505,607,632.98/564,369.20
  6. Step 6: Final answer
    x = 341,098.71

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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.