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Finding the Fourth Proportional to 274,787.44, 411,592.80 and 207,486.16

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Solution

The fourth proportional to 274,787.44, 411,592.80 and 207,486.16 is: 310,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,787.44 : 411,592.80 = 207,486.16 : x
  2. Step 2: Convert to fraction form
    274,787.44/411,592.80 = 207,486.16/x
  3. Step 3: Cross multiply
    274,787.44x = 411,592.80 × 207,486.16
  4. Step 4: Simplify right side
    274,787.44x = 85,399,809,555.65
  5. Step 5: Solve for x
    x = 85,399,809,555.65/274,787.44
  6. Step 6: Final answer
    x = 310,784.98

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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.