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Finding the Fourth Proportional to 416,612.42, 574,495.16 and 356,382.44

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Solution

The fourth proportional to 416,612.42, 574,495.16 and 356,382.44 is: 491,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,612.42 : 574,495.16 = 356,382.44 : x
  2. Step 2: Convert to fraction form
    416,612.42/574,495.16 = 356,382.44/x
  3. Step 3: Cross multiply
    416,612.42x = 574,495.16 × 356,382.44
  4. Step 4: Simplify right side
    416,612.42x = 204,739,986,888.99
  5. Step 5: Solve for x
    x = 204,739,986,888.99/416,612.42
  6. Step 6: Final answer
    x = 491,439.95

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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.