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Finding the Fourth Proportional to 344,258.56, 516,189.19 and 133,650.46

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Solution

The fourth proportional to 344,258.56, 516,189.19 and 133,650.46 is: 200,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,258.56 : 516,189.19 = 133,650.46 : x
  2. Step 2: Convert to fraction form
    344,258.56/516,189.19 = 133,650.46/x
  3. Step 3: Cross multiply
    344,258.56x = 516,189.19 × 133,650.46
  4. Step 4: Simplify right side
    344,258.56x = 68,988,922,690.53
  5. Step 5: Solve for x
    x = 68,988,922,690.53/344,258.56
  6. Step 6: Final answer
    x = 200,398.57

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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.