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Finding the Fourth Proportional to 416,084.80, 574,191.42 and 232,326.22

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Solution

The fourth proportional to 416,084.80, 574,191.42 and 232,326.22 is: 320,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,084.80 : 574,191.42 = 232,326.22 : x
  2. Step 2: Convert to fraction form
    416,084.80/574,191.42 = 232,326.22/x
  3. Step 3: Cross multiply
    416,084.80x = 574,191.42 × 232,326.22
  4. Step 4: Simplify right side
    416,084.80x = 133,399,722,165.03
  5. Step 5: Solve for x
    x = 133,399,722,165.03/416,084.80
  6. Step 6: Final answer
    x = 320,607.05

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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.