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Finding the Fourth Proportional to 290,534.65, 400,937.85 and 161,473.10

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Solution

The fourth proportional to 290,534.65, 400,937.85 and 161,473.10 is: 222,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,534.65 : 400,937.85 = 161,473.10 : x
  2. Step 2: Convert to fraction form
    290,534.65/400,937.85 = 161,473.10/x
  3. Step 3: Cross multiply
    290,534.65x = 400,937.85 × 161,473.10
  4. Step 4: Simplify right side
    290,534.65x = 64,740,675,542.15
  5. Step 5: Solve for x
    x = 64,740,675,542.15/290,534.65
  6. Step 6: Final answer
    x = 222,832.89

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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.