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Finding the Fourth Proportional to 647,513.24, 971,104.19 and 191,998.00

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Solution

The fourth proportional to 647,513.24, 971,104.19 and 191,998.00 is: 287,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,513.24 : 971,104.19 = 191,998.00 : x
  2. Step 2: Convert to fraction form
    647,513.24/971,104.19 = 191,998.00/x
  3. Step 3: Cross multiply
    647,513.24x = 971,104.19 × 191,998.00
  4. Step 4: Simplify right side
    647,513.24x = 186,450,058,143.04
  5. Step 5: Solve for x
    x = 186,450,058,143.04/647,513.24
  6. Step 6: Final answer
    x = 287,947.87

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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.