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Finding the Fourth Proportional to 647,965.66, 971,837.73 and 174,540.30

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Solution

The fourth proportional to 647,965.66, 971,837.73 and 174,540.30 is: 261,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,965.66 : 971,837.73 = 174,540.30 : x
  2. Step 2: Convert to fraction form
    647,965.66/971,837.73 = 174,540.30/x
  3. Step 3: Cross multiply
    647,965.66x = 971,837.73 × 174,540.30
  4. Step 4: Simplify right side
    647,965.66x = 169,624,848,945.52
  5. Step 5: Solve for x
    x = 169,624,848,945.52/647,965.66
  6. Step 6: Final answer
    x = 261,780.62

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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.