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Finding the Fourth Proportional to 408,374.91, 563,571.07 and 224,621.25

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Solution

The fourth proportional to 408,374.91, 563,571.07 and 224,621.25 is: 309,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,374.91 : 563,571.07 = 224,621.25 : x
  2. Step 2: Convert to fraction form
    408,374.91/563,571.07 = 224,621.25/x
  3. Step 3: Cross multiply
    408,374.91x = 563,571.07 × 224,621.25
  4. Step 4: Simplify right side
    408,374.91x = 126,590,039,123.55
  5. Step 5: Solve for x
    x = 126,590,039,123.55/408,374.91
  6. Step 6: Final answer
    x = 309,984.86

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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.