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Finding the Fourth Proportional to 274,471.23, 411,664.82 and 74,807.70

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Solution

The fourth proportional to 274,471.23, 411,664.82 and 74,807.70 is: 112,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,471.23 : 411,664.82 = 74,807.70 : x
  2. Step 2: Convert to fraction form
    274,471.23/411,664.82 = 74,807.70/x
  3. Step 3: Cross multiply
    274,471.23x = 411,664.82 × 74,807.70
  4. Step 4: Simplify right side
    274,471.23x = 30,795,699,068.54
  5. Step 5: Solve for x
    x = 30,795,699,068.54/274,471.23
  6. Step 6: Final answer
    x = 112,200.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.