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Finding the Fourth Proportional to 647,964.16, 971,835.48 and 174,538.80

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Solution

The fourth proportional to 647,964.16, 971,835.48 and 174,538.80 is: 261,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,964.16 : 971,835.48 = 174,538.80 : x
  2. Step 2: Convert to fraction form
    647,964.16/971,835.48 = 174,538.80/x
  3. Step 3: Cross multiply
    647,964.16x = 971,835.48 × 174,538.80
  4. Step 4: Simplify right side
    647,964.16x = 169,622,998,476.62
  5. Step 5: Solve for x
    x = 169,622,998,476.62/647,964.16
  6. Step 6: Final answer
    x = 261,778.37

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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.