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Finding the Fourth Proportional to 344,257.56, 516,187.69 and 133,649.46

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Solution

The fourth proportional to 344,257.56, 516,187.69 and 133,649.46 is: 200,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,257.56 : 516,187.69 = 133,649.46 : x
  2. Step 2: Convert to fraction form
    344,257.56/516,187.69 = 133,649.46/x
  3. Step 3: Cross multiply
    344,257.56x = 516,187.69 × 133,649.46
  4. Step 4: Simplify right side
    344,257.56x = 68,988,205,693.02
  5. Step 5: Solve for x
    x = 68,988,205,693.02/344,257.56
  6. Step 6: Final answer
    x = 200,397.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.