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Finding the Fourth Proportional to 316,477.86, 474,753.96 and 111,249.78

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Solution

The fourth proportional to 316,477.86, 474,753.96 and 111,249.78 is: 166,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,477.86 : 474,753.96 = 111,249.78 : x
  2. Step 2: Convert to fraction form
    316,477.86/474,753.96 = 111,249.78/x
  3. Step 3: Cross multiply
    316,477.86x = 474,753.96 × 111,249.78
  4. Step 4: Simplify right side
    316,477.86x = 52,816,273,604.13
  5. Step 5: Solve for x
    x = 52,816,273,604.13/316,477.86
  6. Step 6: Final answer
    x = 166,887.74

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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.