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Finding the Fourth Proportional to 508,553.52, 762,846 and 255,844.29

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Solution

The fourth proportional to 508,553.52, 762,846 and 255,844.29 is: 383,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,553.52 : 762,846 = 255,844.29 : x
  2. Step 2: Convert to fraction form
    508,553.52/762,846 = 255,844.29/x
  3. Step 3: Cross multiply
    508,553.52x = 762,846 × 255,844.29
  4. Step 4: Simplify right side
    508,553.52x = 195,169,793,249.34
  5. Step 5: Solve for x
    x = 195,169,793,249.34/508,553.52
  6. Step 6: Final answer
    x = 383,774.34

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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.