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Finding the Fourth Proportional to 410,512.56, 566,501.97 and 229,227.59

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Solution

The fourth proportional to 410,512.56, 566,501.97 and 229,227.59 is: 316,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,512.56 : 566,501.97 = 229,227.59 : x
  2. Step 2: Convert to fraction form
    410,512.56/566,501.97 = 229,227.59/x
  3. Step 3: Cross multiply
    410,512.56x = 566,501.97 × 229,227.59
  4. Step 4: Simplify right side
    410,512.56x = 129,857,878,480.84
  5. Step 5: Solve for x
    x = 129,857,878,480.84/410,512.56
  6. Step 6: Final answer
    x = 316,331.07

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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.