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Finding the Fourth Proportional to 576,513.44, 863,821.27 and 197,226.83

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Solution

The fourth proportional to 576,513.44, 863,821.27 and 197,226.83 is: 295,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,513.44 : 863,821.27 = 197,226.83 : x
  2. Step 2: Convert to fraction form
    576,513.44/863,821.27 = 197,226.83/x
  3. Step 3: Cross multiply
    576,513.44x = 863,821.27 × 197,226.83
  4. Step 4: Simplify right side
    576,513.44x = 170,368,733,174.76
  5. Step 5: Solve for x
    x = 170,368,733,174.76/576,513.44
  6. Step 6: Final answer
    x = 295,515.63

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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.