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Finding the Fourth Proportional to 356,765.49, 492,317.46 and 203,773.64

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Solution

The fourth proportional to 356,765.49, 492,317.46 and 203,773.64 is: 281,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,765.49 : 492,317.46 = 203,773.64 : x
  2. Step 2: Convert to fraction form
    356,765.49/492,317.46 = 203,773.64/x
  3. Step 3: Cross multiply
    356,765.49x = 492,317.46 × 203,773.64
  4. Step 4: Simplify right side
    356,765.49x = 100,321,318,398.17
  5. Step 5: Solve for x
    x = 100,321,318,398.17/356,765.49
  6. Step 6: Final answer
    x = 281,196.81

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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.