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Finding the Fourth Proportional to 369,531.32, 509,954.52 and 199,765.44

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Solution

The fourth proportional to 369,531.32, 509,954.52 and 199,765.44 is: 275,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,531.32 : 509,954.52 = 199,765.44 : x
  2. Step 2: Convert to fraction form
    369,531.32/509,954.52 = 199,765.44/x
  3. Step 3: Cross multiply
    369,531.32x = 509,954.52 × 199,765.44
  4. Step 4: Simplify right side
    369,531.32x = 101,871,289,067.79
  5. Step 5: Solve for x
    x = 101,871,289,067.79/369,531.32
  6. Step 6: Final answer
    x = 275,677.01

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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.