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Finding the Fourth Proportional to 644,297.84, 966,371.64 and 171,019.96

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Solution

The fourth proportional to 644,297.84, 966,371.64 and 171,019.96 is: 256,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,297.84 : 966,371.64 = 171,019.96 : x
  2. Step 2: Convert to fraction form
    644,297.84/966,371.64 = 171,019.96/x
  3. Step 3: Cross multiply
    644,297.84x = 966,371.64 × 171,019.96
  4. Step 4: Simplify right side
    644,297.84x = 165,268,839,217.93
  5. Step 5: Solve for x
    x = 165,268,839,217.93/644,297.84
  6. Step 6: Final answer
    x = 256,510.00

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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.