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Finding the Fourth Proportional to 415,964.79, 624,016.20 and 146,022.96

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Solution

The fourth proportional to 415,964.79, 624,016.20 and 146,022.96 is: 219,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,964.79 : 624,016.20 = 146,022.96 : x
  2. Step 2: Convert to fraction form
    415,964.79/624,016.20 = 146,022.96/x
  3. Step 3: Cross multiply
    415,964.79x = 624,016.20 × 146,022.96
  4. Step 4: Simplify right side
    415,964.79x = 91,120,691,111.98
  5. Step 5: Solve for x
    x = 91,120,691,111.98/415,964.79
  6. Step 6: Final answer
    x = 219,058.66

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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.