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Finding the Fourth Proportional to 463,277.80, 694,916.70 and 164,096.20

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Solution

The fourth proportional to 463,277.80, 694,916.70 and 164,096.20 is: 246,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,277.80 : 694,916.70 = 164,096.20 : x
  2. Step 2: Convert to fraction form
    463,277.80/694,916.70 = 164,096.20/x
  3. Step 3: Cross multiply
    463,277.80x = 694,916.70 × 164,096.20
  4. Step 4: Simplify right side
    463,277.80x = 114,033,189,786.54
  5. Step 5: Solve for x
    x = 114,033,189,786.54/463,277.80
  6. Step 6: Final answer
    x = 246,144.30

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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.