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Finding the Fourth Proportional to 463,233.30, 694,849.95 and 164,051.70

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Solution

The fourth proportional to 463,233.30, 694,849.95 and 164,051.70 is: 246,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,233.30 : 694,849.95 = 164,051.70 : x
  2. Step 2: Convert to fraction form
    463,233.30/694,849.95 = 164,051.70/x
  3. Step 3: Cross multiply
    463,233.30x = 694,849.95 × 164,051.70
  4. Step 4: Simplify right side
    463,233.30x = 113,991,315,542.42
  5. Step 5: Solve for x
    x = 113,991,315,542.42/463,233.30
  6. Step 6: Final answer
    x = 246,077.55

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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.