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Finding the Fourth Proportional to 411,519.32, 567,787.14 and 282,497.25

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Solution

The fourth proportional to 411,519.32, 567,787.14 and 282,497.25 is: 389,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,519.32 : 567,787.14 = 282,497.25 : x
  2. Step 2: Convert to fraction form
    411,519.32/567,787.14 = 282,497.25/x
  3. Step 3: Cross multiply
    411,519.32x = 567,787.14 × 282,497.25
  4. Step 4: Simplify right side
    411,519.32x = 160,398,305,635.37
  5. Step 5: Solve for x
    x = 160,398,305,635.37/411,519.32
  6. Step 6: Final answer
    x = 389,771.03

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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.