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Finding the Fourth Proportional to 407,370.56, 611,054.76 and 229,796.96

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Solution

The fourth proportional to 407,370.56, 611,054.76 and 229,796.96 is: 344,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,370.56 : 611,054.76 = 229,796.96 : x
  2. Step 2: Convert to fraction form
    407,370.56/611,054.76 = 229,796.96/x
  3. Step 3: Cross multiply
    407,370.56x = 611,054.76 × 229,796.96
  4. Step 4: Simplify right side
    407,370.56x = 140,418,526,241.53
  5. Step 5: Solve for x
    x = 140,418,526,241.53/407,370.56
  6. Step 6: Final answer
    x = 344,694.83

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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.