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Finding the Fourth Proportional to 411,551.54, 567,963.11 and 230,252.61

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Solution

The fourth proportional to 411,551.54, 567,963.11 and 230,252.61 is: 317,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,551.54 : 567,963.11 = 230,252.61 : x
  2. Step 2: Convert to fraction form
    411,551.54/567,963.11 = 230,252.61/x
  3. Step 3: Cross multiply
    411,551.54x = 567,963.11 × 230,252.61
  4. Step 4: Simplify right side
    411,551.54x = 130,774,989,036.85
  5. Step 5: Solve for x
    x = 130,774,989,036.85/411,551.54
  6. Step 6: Final answer
    x = 317,760.91

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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.