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Finding the Fourth Proportional to 408,077.84, 563,139.72 and 226,787.60

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Solution

The fourth proportional to 408,077.84, 563,139.72 and 226,787.60 is: 312,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077.84 : 563,139.72 = 226,787.60 : x
  2. Step 2: Convert to fraction form
    408,077.84/563,139.72 = 226,787.60/x
  3. Step 3: Cross multiply
    408,077.84x = 563,139.72 × 226,787.60
  4. Step 4: Simplify right side
    408,077.84x = 127,713,105,563.47
  5. Step 5: Solve for x
    x = 127,713,105,563.47/408,077.84
  6. Step 6: Final answer
    x = 312,962.61

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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.