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Finding the Fourth Proportional to 410,633.56, 566,668.20 and 229,348.54

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Solution

The fourth proportional to 410,633.56, 566,668.20 and 229,348.54 is: 316,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,633.56 : 566,668.20 = 229,348.54 : x
  2. Step 2: Convert to fraction form
    410,633.56/566,668.20 = 229,348.54/x
  3. Step 3: Cross multiply
    410,633.56x = 566,668.20 × 229,348.54
  4. Step 4: Simplify right side
    410,633.56x = 129,964,524,334.43
  5. Step 5: Solve for x
    x = 129,964,524,334.43/410,633.56
  6. Step 6: Final answer
    x = 316,497.57

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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.