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Finding the Fourth Proportional to 408,466.12, 563,640.04 and 227,148.88

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Solution

The fourth proportional to 408,466.12, 563,640.04 and 227,148.88 is: 313,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,466.12 : 563,640.04 = 227,148.88 : x
  2. Step 2: Convert to fraction form
    408,466.12/563,640.04 = 227,148.88/x
  3. Step 3: Cross multiply
    408,466.12x = 563,640.04 × 227,148.88
  4. Step 4: Simplify right side
    408,466.12x = 128,030,203,809.16
  5. Step 5: Solve for x
    x = 128,030,203,809.16/408,466.12
  6. Step 6: Final answer
    x = 313,441.43

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1.5x scale

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.