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Finding the Fourth Proportional to 274,472.23, 411,666.32 and 74,808.70

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Solution

The fourth proportional to 274,472.23, 411,666.32 and 74,808.70 is: 112,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472.23 : 411,666.32 = 74,808.70 : x
  2. Step 2: Convert to fraction form
    274,472.23/411,666.32 = 74,808.70/x
  3. Step 3: Cross multiply
    274,472.23x = 411,666.32 × 74,808.70
  4. Step 4: Simplify right side
    274,472.23x = 30,796,222,232.98
  5. Step 5: Solve for x
    x = 30,796,222,232.98/274,472.23
  6. Step 6: Final answer
    x = 112,201.60

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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.