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Finding the Fourth Proportional to 647,960.54, 971,830.09 and 174,535.18

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Solution

The fourth proportional to 647,960.54, 971,830.09 and 174,535.18 is: 261,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,960.54 : 971,830.09 = 174,535.18 : x
  2. Step 2: Convert to fraction form
    647,960.54/971,830.09 = 174,535.18/x
  3. Step 3: Cross multiply
    647,960.54x = 971,830.09 × 174,535.18
  4. Step 4: Simplify right side
    647,960.54x = 169,618,538,036.44
  5. Step 5: Solve for x
    x = 169,618,538,036.44/647,960.54
  6. Step 6: Final answer
    x = 261,772.95

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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.