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Finding the Fourth Proportional to 493,453, 680,965.14 and 267,100.12

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Solution

The fourth proportional to 493,453, 680,965.14 and 267,100.12 is: 368,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,453 : 680,965.14 = 267,100.12 : x
  2. Step 2: Convert to fraction form
    493,453/680,965.14 = 267,100.12/x
  3. Step 3: Cross multiply
    493,453x = 680,965.14 × 267,100.12
  4. Step 4: Simplify right side
    493,453x = 181,885,870,609.82
  5. Step 5: Solve for x
    x = 181,885,870,609.82/493,453
  6. Step 6: Final answer
    x = 368,598.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.