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Finding the Fourth Proportional to 576,206.44, 864,401.82 and 243,785.32

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Solution

The fourth proportional to 576,206.44, 864,401.82 and 243,785.32 is: 365,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,206.44 : 864,401.82 = 243,785.32 : x
  2. Step 2: Convert to fraction form
    576,206.44/864,401.82 = 243,785.32/x
  3. Step 3: Cross multiply
    576,206.44x = 864,401.82 × 243,785.32
  4. Step 4: Simplify right side
    576,206.44x = 210,728,474,297.28
  5. Step 5: Solve for x
    x = 210,728,474,297.28/576,206.44
  6. Step 6: Final answer
    x = 365,716.97

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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.