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Finding the Fourth Proportional to 362,169.84, 543,787.90 and 202,558.48

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Solution

The fourth proportional to 362,169.84, 543,787.90 and 202,558.48 is: 304,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,169.84 : 543,787.90 = 202,558.48 : x
  2. Step 2: Convert to fraction form
    362,169.84/543,787.90 = 202,558.48/x
  3. Step 3: Cross multiply
    362,169.84x = 543,787.90 × 202,558.48
  4. Step 4: Simplify right side
    362,169.84x = 110,148,850,466.39
  5. Step 5: Solve for x
    x = 110,148,850,466.39/362,169.84
  6. Step 6: Final answer
    x = 304,135.90

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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.