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Finding the Fourth Proportional to 523,011.62, 783,843.06 and 253,076.31

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Solution

The fourth proportional to 523,011.62, 783,843.06 and 253,076.31 is: 379,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,011.62 : 783,843.06 = 253,076.31 : x
  2. Step 2: Convert to fraction form
    523,011.62/783,843.06 = 253,076.31/x
  3. Step 3: Cross multiply
    523,011.62x = 783,843.06 × 253,076.31
  4. Step 4: Simplify right side
    523,011.62x = 198,372,109,243.91
  5. Step 5: Solve for x
    x = 198,372,109,243.91/523,011.62
  6. Step 6: Final answer
    x = 379,288.15

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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.