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Finding the Fourth Proportional to 506,735.43, 760,122.59 and 226,255.11

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Solution

The fourth proportional to 506,735.43, 760,122.59 and 226,255.11 is: 339,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,735.43 : 760,122.59 = 226,255.11 : x
  2. Step 2: Convert to fraction form
    506,735.43/760,122.59 = 226,255.11/x
  3. Step 3: Cross multiply
    506,735.43x = 760,122.59 × 226,255.11
  4. Step 4: Simplify right side
    506,735.43x = 171,981,619,082.66
  5. Step 5: Solve for x
    x = 171,981,619,082.66/506,735.43
  6. Step 6: Final answer
    x = 339,391.34

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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.