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Finding the Fourth Proportional to 410,492.69, 566,489.54 and 229,198.49

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Solution

The fourth proportional to 410,492.69, 566,489.54 and 229,198.49 is: 316,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,492.69 : 566,489.54 = 229,198.49 : x
  2. Step 2: Convert to fraction form
    410,492.69/566,489.54 = 229,198.49/x
  3. Step 3: Cross multiply
    410,492.69x = 566,489.54 × 229,198.49
  4. Step 4: Simplify right side
    410,492.69x = 129,838,546,022.80
  5. Step 5: Solve for x
    x = 129,838,546,022.80/410,492.69
  6. Step 6: Final answer
    x = 316,299.29

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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.