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Finding the Fourth Proportional to 505,343.81, 697,295.18 and 290,443.73

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Solution

The fourth proportional to 505,343.81, 697,295.18 and 290,443.73 is: 400,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,343.81 : 697,295.18 = 290,443.73 : x
  2. Step 2: Convert to fraction form
    505,343.81/697,295.18 = 290,443.73/x
  3. Step 3: Cross multiply
    505,343.81x = 697,295.18 × 290,443.73
  4. Step 4: Simplify right side
    505,343.81x = 202,525,010,229.86
  5. Step 5: Solve for x
    x = 202,525,010,229.86/505,343.81
  6. Step 6: Final answer
    x = 400,766.78

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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.