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Finding the Fourth Proportional to 644,321.84, 966,516.10 and 164,554.11

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Solution

The fourth proportional to 644,321.84, 966,516.10 and 164,554.11 is: 246,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,321.84 : 966,516.10 = 164,554.11 : x
  2. Step 2: Convert to fraction form
    644,321.84/966,516.10 = 164,554.11/x
  3. Step 3: Cross multiply
    644,321.84x = 966,516.10 × 164,554.11
  4. Step 4: Simplify right side
    644,321.84x = 159,044,196,224.79
  5. Step 5: Solve for x
    x = 159,044,196,224.79/644,321.84
  6. Step 6: Final answer
    x = 246,839.68

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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.