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Finding the Fourth Proportional to 416,104.83, 574,218.99 and 232,346.23

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Solution

The fourth proportional to 416,104.83, 574,218.99 and 232,346.23 is: 320,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,104.83 : 574,218.99 = 232,346.23 : x
  2. Step 2: Convert to fraction form
    416,104.83/574,218.99 = 232,346.23/x
  3. Step 3: Cross multiply
    416,104.83x = 574,218.99 × 232,346.23
  4. Step 4: Simplify right side
    416,104.83x = 133,417,621,103.05
  5. Step 5: Solve for x
    x = 133,417,621,103.05/416,104.83
  6. Step 6: Final answer
    x = 320,634.64

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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.