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Finding the Fourth Proportional to 344,065.56, 516,267.42 and 154,659.75

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Solution

The fourth proportional to 344,065.56, 516,267.42 and 154,659.75 is: 232,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,065.56 : 516,267.42 = 154,659.75 : x
  2. Step 2: Convert to fraction form
    344,065.56/516,267.42 = 154,659.75/x
  3. Step 3: Cross multiply
    344,065.56x = 516,267.42 × 154,659.75
  4. Step 4: Simplify right side
    344,065.56x = 79,845,790,110.35
  5. Step 5: Solve for x
    x = 79,845,790,110.35/344,065.56
  6. Step 6: Final answer
    x = 232,065.63

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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.