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Finding the Fourth Proportional to 408,522.38, 563,760.88 and 229,674.38

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Solution

The fourth proportional to 408,522.38, 563,760.88 and 229,674.38 is: 316,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,522.38 : 563,760.88 = 229,674.38 : x
  2. Step 2: Convert to fraction form
    408,522.38/563,760.88 = 229,674.38/x
  3. Step 3: Cross multiply
    408,522.38x = 563,760.88 × 229,674.38
  4. Step 4: Simplify right side
    408,522.38x = 129,481,427,189.26
  5. Step 5: Solve for x
    x = 129,481,427,189.26/408,522.38
  6. Step 6: Final answer
    x = 316,950.64

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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.