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Finding the Fourth Proportional to 378,471.02, 567,816.11 and 112,237.94

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Solution

The fourth proportional to 378,471.02, 567,816.11 and 112,237.94 is: 168,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,471.02 : 567,816.11 = 112,237.94 : x
  2. Step 2: Convert to fraction form
    378,471.02/567,816.11 = 112,237.94/x
  3. Step 3: Cross multiply
    378,471.02x = 567,816.11 × 112,237.94
  4. Step 4: Simplify right side
    378,471.02x = 63,730,511,764.46
  5. Step 5: Solve for x
    x = 63,730,511,764.46/378,471.02
  6. Step 6: Final answer
    x = 168,389.41

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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.