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Finding the Fourth Proportional to 647,963.61, 971,834.63 and 174,538.25

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Solution

The fourth proportional to 647,963.61, 971,834.63 and 174,538.25 is: 261,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,963.61 : 971,834.63 = 174,538.25 : x
  2. Step 2: Convert to fraction form
    647,963.61/971,834.63 = 174,538.25/x
  3. Step 3: Cross multiply
    647,963.61x = 971,834.63 × 174,538.25
  4. Step 4: Simplify right side
    647,963.61x = 169,622,310,750.42
  5. Step 5: Solve for x
    x = 169,622,310,750.42/647,963.61
  6. Step 6: Final answer
    x = 261,777.53

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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.