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Finding the Fourth Proportional to 494,648.40, 741,929.40 and 162,224.40

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Solution

The fourth proportional to 494,648.40, 741,929.40 and 162,224.40 is: 243,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,648.40 : 741,929.40 = 162,224.40 : x
  2. Step 2: Convert to fraction form
    494,648.40/741,929.40 = 162,224.40/x
  3. Step 3: Cross multiply
    494,648.40x = 741,929.40 × 162,224.40
  4. Step 4: Simplify right side
    494,648.40x = 120,359,051,757.36
  5. Step 5: Solve for x
    x = 120,359,051,757.36/494,648.40
  6. Step 6: Final answer
    x = 243,322.43

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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.