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Finding the Fourth Proportional to 369,594.31, 510,040.87 and 199,828.43

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Solution

The fourth proportional to 369,594.31, 510,040.87 and 199,828.43 is: 275,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,594.31 : 510,040.87 = 199,828.43 : x
  2. Step 2: Convert to fraction form
    369,594.31/510,040.87 = 199,828.43/x
  3. Step 3: Cross multiply
    369,594.31x = 510,040.87 × 199,828.43
  4. Step 4: Simplify right side
    369,594.31x = 101,920,667,063.47
  5. Step 5: Solve for x
    x = 101,920,667,063.47/369,594.31
  6. Step 6: Final answer
    x = 275,763.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.