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Finding the Fourth Proportional to 506,736.43, 760,124.09 and 226,256.11

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Solution

The fourth proportional to 506,736.43, 760,124.09 and 226,256.11 is: 339,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,736.43 : 760,124.09 = 226,256.11 : x
  2. Step 2: Convert to fraction form
    506,736.43/760,124.09 = 226,256.11/x
  3. Step 3: Cross multiply
    506,736.43x = 760,124.09 × 226,256.11
  4. Step 4: Simplify right side
    506,736.43x = 171,982,718,589.41
  5. Step 5: Solve for x
    x = 171,982,718,589.41/506,736.43
  6. Step 6: Final answer
    x = 339,392.84

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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.