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Finding the Fourth Proportional to 414,207.50, 620,314.78 and 236,174.76

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Solution

The fourth proportional to 414,207.50, 620,314.78 and 236,174.76 is: 353,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,207.50 : 620,314.78 = 236,174.76 : x
  2. Step 2: Convert to fraction form
    414,207.50/620,314.78 = 236,174.76/x
  3. Step 3: Cross multiply
    414,207.50x = 620,314.78 × 236,174.76
  4. Step 4: Simplify right side
    414,207.50x = 146,502,694,290.95
  5. Step 5: Solve for x
    x = 146,502,694,290.95/414,207.50
  6. Step 6: Final answer
    x = 353,693.97

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