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Finding the Fourth Proportional to 290,365.88, 400,716.23 and 161,314.10

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Solution

The fourth proportional to 290,365.88, 400,716.23 and 161,314.10 is: 222,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,365.88 : 400,716.23 = 161,314.10 : x
  2. Step 2: Convert to fraction form
    290,365.88/400,716.23 = 161,314.10/x
  3. Step 3: Cross multiply
    290,365.88x = 400,716.23 × 161,314.10
  4. Step 4: Simplify right side
    290,365.88x = 64,641,175,187.69
  5. Step 5: Solve for x
    x = 64,641,175,187.69/290,365.88
  6. Step 6: Final answer
    x = 222,619.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.