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Finding the Fourth Proportional to 492,753.80, 738,957.90 and 256,017.80

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Solution

The fourth proportional to 492,753.80, 738,957.90 and 256,017.80 is: 383,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,753.80 : 738,957.90 = 256,017.80 : x
  2. Step 2: Convert to fraction form
    492,753.80/738,957.90 = 256,017.80/x
  3. Step 3: Cross multiply
    492,753.80x = 738,957.90 × 256,017.80
  4. Step 4: Simplify right side
    492,753.80x = 189,186,375,850.62
  5. Step 5: Solve for x
    x = 189,186,375,850.62/492,753.80
  6. Step 6: Final answer
    x = 383,936.92

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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.