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Finding the Fourth Proportional to 290,824.29, 401,066.64 and 188,740.62

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Solution

The fourth proportional to 290,824.29, 401,066.64 and 188,740.62 is: 260,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,824.29 : 401,066.64 = 188,740.62 : x
  2. Step 2: Convert to fraction form
    290,824.29/401,066.64 = 188,740.62/x
  3. Step 3: Cross multiply
    290,824.29x = 401,066.64 × 188,740.62
  4. Step 4: Simplify right side
    290,824.29x = 75,697,566,294.92
  5. Step 5: Solve for x
    x = 75,697,566,294.92/290,824.29
  6. Step 6: Final answer
    x = 260,286.26

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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.