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Finding the Fourth Proportional to 435,382.84, 653,326.50 and 182,641

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Solution

The fourth proportional to 435,382.84, 653,326.50 and 182,641 is: 274,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,382.84 : 653,326.50 = 182,641 : x
  2. Step 2: Convert to fraction form
    435,382.84/653,326.50 = 182,641/x
  3. Step 3: Cross multiply
    435,382.84x = 653,326.50 × 182,641
  4. Step 4: Simplify right side
    435,382.84x = 119,324,205,286.50
  5. Step 5: Solve for x
    x = 119,324,205,286.50/435,382.84
  6. Step 6: Final answer
    x = 274,067.31

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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.