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Finding the Fourth Proportional to 505,446.57, 697,436.97 and 290,546.48

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Solution

The fourth proportional to 505,446.57, 697,436.97 and 290,546.48 is: 400,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,446.57 : 697,436.97 = 290,546.48 : x
  2. Step 2: Convert to fraction form
    505,446.57/697,436.97 = 290,546.48/x
  3. Step 3: Cross multiply
    505,446.57x = 697,436.97 × 290,546.48
  4. Step 4: Simplify right side
    505,446.57x = 202,637,853,168.18
  5. Step 5: Solve for x
    x = 202,637,853,168.18/505,446.57
  6. Step 6: Final answer
    x = 400,908.55

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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.