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Finding the Fourth Proportional to 505,749.97, 697,906.96 and 290,893.65

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Solution

The fourth proportional to 505,749.97, 697,906.96 and 290,893.65 is: 401,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,749.97 : 697,906.96 = 290,893.65 : x
  2. Step 2: Convert to fraction form
    505,749.97/697,906.96 = 290,893.65/x
  3. Step 3: Cross multiply
    505,749.97x = 697,906.96 × 290,893.65
  4. Step 4: Simplify right side
    505,749.97x = 203,016,702,954.80
  5. Step 5: Solve for x
    x = 203,016,702,954.80/505,749.97
  6. Step 6: Final answer
    x = 401,417.13

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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.