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Finding the Fourth Proportional to 647,963.23, 971,834.06 and 174,537.87

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Solution

The fourth proportional to 647,963.23, 971,834.06 and 174,537.87 is: 261,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,963.23 : 971,834.06 = 174,537.87 : x
  2. Step 2: Convert to fraction form
    647,963.23/971,834.06 = 174,537.87/x
  3. Step 3: Cross multiply
    647,963.23x = 971,834.06 × 174,537.87
  4. Step 4: Simplify right side
    647,963.23x = 169,621,847,262.20
  5. Step 5: Solve for x
    x = 169,621,847,262.20/647,963.23
  6. Step 6: Final answer
    x = 261,776.97

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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.