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Finding the Fourth Proportional to 411,519.82, 567,787.83 and 282,497.75

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Solution

The fourth proportional to 411,519.82, 567,787.83 and 282,497.75 is: 389,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,519.82 : 567,787.83 = 282,497.75 : x
  2. Step 2: Convert to fraction form
    411,519.82/567,787.83 = 282,497.75/x
  3. Step 3: Cross multiply
    411,519.82x = 567,787.83 × 282,497.75
  4. Step 4: Simplify right side
    411,519.82x = 160,398,784,452.38
  5. Step 5: Solve for x
    x = 160,398,784,452.38/411,519.82
  6. Step 6: Final answer
    x = 389,771.72

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Why These Related Problems?

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