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Finding the Fourth Proportional to 624,370.31, 861,046.30 and 414,446.96

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Solution

The fourth proportional to 624,370.31, 861,046.30 and 414,446.96 is: 571,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,370.31 : 861,046.30 = 414,446.96 : x
  2. Step 2: Convert to fraction form
    624,370.31/861,046.30 = 414,446.96/x
  3. Step 3: Cross multiply
    624,370.31x = 861,046.30 × 414,446.96
  4. Step 4: Simplify right side
    624,370.31x = 356,858,022,570.75
  5. Step 5: Solve for x
    x = 356,858,022,570.75/624,370.31
  6. Step 6: Final answer
    x = 571,548.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.