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Finding the Fourth Proportional to 644,871.84, 967,306.32 and 171,557.28

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Solution

The fourth proportional to 644,871.84, 967,306.32 and 171,557.28 is: 257,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,871.84 : 967,306.32 = 171,557.28 : x
  2. Step 2: Convert to fraction form
    644,871.84/967,306.32 = 171,557.28/x
  3. Step 3: Cross multiply
    644,871.84x = 967,306.32 × 171,557.28
  4. Step 4: Simplify right side
    644,871.84x = 165,948,441,186.01
  5. Step 5: Solve for x
    x = 165,948,441,186.01/644,871.84
  6. Step 6: Final answer
    x = 257,335.54

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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.