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Finding the Fourth Proportional to 505,454.68, 697,564.20 and 290,662.12

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Solution

The fourth proportional to 505,454.68, 697,564.20 and 290,662.12 is: 401,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,454.68 : 697,564.20 = 290,662.12 : x
  2. Step 2: Convert to fraction form
    505,454.68/697,564.20 = 290,662.12/x
  3. Step 3: Cross multiply
    505,454.68x = 697,564.20 × 290,662.12
  4. Step 4: Simplify right side
    505,454.68x = 202,755,489,208.10
  5. Step 5: Solve for x
    x = 202,755,489,208.10/505,454.68
  6. Step 6: Final answer
    x = 401,134.85

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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.