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Finding the Fourth Proportional to 492,773.46, 680,027.30 and 266,418.96

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Solution

The fourth proportional to 492,773.46, 680,027.30 and 266,418.96 is: 367,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,773.46 : 680,027.30 = 266,418.96 : x
  2. Step 2: Convert to fraction form
    492,773.46/680,027.30 = 266,418.96/x
  3. Step 3: Cross multiply
    492,773.46x = 680,027.30 × 266,418.96
  4. Step 4: Simplify right side
    492,773.46x = 181,172,166,037.61
  5. Step 5: Solve for x
    x = 181,172,166,037.61/492,773.46
  6. Step 6: Final answer
    x = 367,658.12

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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.