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Finding the Fourth Proportional to 494,398.17, 741,668.30 and 152,868.21

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Solution

The fourth proportional to 494,398.17, 741,668.30 and 152,868.21 is: 229,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,398.17 : 741,668.30 = 152,868.21 : x
  2. Step 2: Convert to fraction form
    494,398.17/741,668.30 = 152,868.21/x
  3. Step 3: Cross multiply
    494,398.17x = 741,668.30 × 152,868.21
  4. Step 4: Simplify right side
    494,398.17x = 113,377,504,670.40
  5. Step 5: Solve for x
    x = 113,377,504,670.40/494,398.17
  6. Step 6: Final answer
    x = 229,324.28

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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.