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Finding the Fourth Proportional to 624,367.31, 861,042.16 and 414,443.96

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Solution

The fourth proportional to 624,367.31, 861,042.16 and 414,443.96 is: 571,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,367.31 : 861,042.16 = 414,443.96 : x
  2. Step 2: Convert to fraction form
    624,367.31/861,042.16 = 414,443.96/x
  3. Step 3: Cross multiply
    624,367.31x = 861,042.16 × 414,443.96
  4. Step 4: Simplify right side
    624,367.31x = 356,853,725,188.01
  5. Step 5: Solve for x
    x = 356,853,725,188.01/624,367.31
  6. Step 6: Final answer
    x = 571,544.54

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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.