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Finding the Fourth Proportional to 290,560, 400,880.64 and 177,326.08

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Solution

The fourth proportional to 290,560, 400,880.64 and 177,326.08 is: 244,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,560 : 400,880.64 = 177,326.08 : x
  2. Step 2: Convert to fraction form
    290,560/400,880.64 = 177,326.08/x
  3. Step 3: Cross multiply
    290,560x = 400,880.64 × 177,326.08
  4. Step 4: Simplify right side
    290,560x = 71,086,592,439.09
  5. Step 5: Solve for x
    x = 71,086,592,439.09/290,560
  6. Step 6: Final answer
    x = 244,653.75

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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.