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Finding the Fourth Proportional to 290,723.10, 401,356.71 and 176,021.34

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Solution

The fourth proportional to 290,723.10, 401,356.71 and 176,021.34 is: 243,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,723.10 : 401,356.71 = 176,021.34 : x
  2. Step 2: Convert to fraction form
    290,723.10/401,356.71 = 176,021.34/x
  3. Step 3: Cross multiply
    290,723.10x = 401,356.71 × 176,021.34
  4. Step 4: Simplify right side
    290,723.10x = 70,647,345,912.19
  5. Step 5: Solve for x
    x = 70,647,345,912.19/290,723.10
  6. Step 6: Final answer
    x = 243,005.62

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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.