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Finding the Fourth Proportional to 410,453.09, 566,419.74 and 229,167.80

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Solution

The fourth proportional to 410,453.09, 566,419.74 and 229,167.80 is: 316,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,453.09 : 566,419.74 = 229,167.80 : x
  2. Step 2: Convert to fraction form
    410,453.09/566,419.74 = 229,167.80/x
  3. Step 3: Cross multiply
    410,453.09x = 566,419.74 × 229,167.80
  4. Step 4: Simplify right side
    410,453.09x = 129,805,162,860.27
  5. Step 5: Solve for x
    x = 129,805,162,860.27/410,453.09
  6. Step 6: Final answer
    x = 316,248.48

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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.