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Finding the Fourth Proportional to 647,963.76, 971,834.86 and 174,538.40

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Solution

The fourth proportional to 647,963.76, 971,834.86 and 174,538.40 is: 261,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,963.76 : 971,834.86 = 174,538.40 : x
  2. Step 2: Convert to fraction form
    647,963.76/971,834.86 = 174,538.40/x
  3. Step 3: Cross multiply
    647,963.76x = 971,834.86 × 174,538.40
  4. Step 4: Simplify right side
    647,963.76x = 169,622,501,528.62
  5. Step 5: Solve for x
    x = 169,622,501,528.62/647,963.76
  6. Step 6: Final answer
    x = 261,777.76

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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.