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Finding the Fourth Proportional to 505,179.92, 697,022.12 and 290,381.20

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Solution

The fourth proportional to 505,179.92, 697,022.12 and 290,381.20 is: 400,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,179.92 : 697,022.12 = 290,381.20 : x
  2. Step 2: Convert to fraction form
    505,179.92/697,022.12 = 290,381.20/x
  3. Step 3: Cross multiply
    505,179.92x = 697,022.12 × 290,381.20
  4. Step 4: Simplify right side
    505,179.92x = 202,402,119,632.14
  5. Step 5: Solve for x
    x = 202,402,119,632.14/505,179.92
  6. Step 6: Final answer
    x = 400,653.53

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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.