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Finding the Fourth Proportional to 492,857.73, 680,144.40 and 266,503.23

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Solution

The fourth proportional to 492,857.73, 680,144.40 and 266,503.23 is: 367,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,857.73 : 680,144.40 = 266,503.23 : x
  2. Step 2: Convert to fraction form
    492,857.73/680,144.40 = 266,503.23/x
  3. Step 3: Cross multiply
    492,857.73x = 680,144.40 × 266,503.23
  4. Step 4: Simplify right side
    492,857.73x = 181,260,679,466.41
  5. Step 5: Solve for x
    x = 181,260,679,466.41/492,857.73
  6. Step 6: Final answer
    x = 367,774.85

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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.