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Finding the Fourth Proportional to 647,560.56, 971,266.11 and 174,208.71

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Solution

The fourth proportional to 647,560.56, 971,266.11 and 174,208.71 is: 261,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,560.56 : 971,266.11 = 174,208.71 : x
  2. Step 2: Convert to fraction form
    647,560.56/971,266.11 = 174,208.71/x
  3. Step 3: Cross multiply
    647,560.56x = 971,266.11 × 174,208.71
  4. Step 4: Simplify right side
    647,560.56x = 169,203,016,089.82
  5. Step 5: Solve for x
    x = 169,203,016,089.82/647,560.56
  6. Step 6: Final answer
    x = 261,292.96

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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.