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Finding the Fourth Proportional to 316,505.25, 474,874.52 and 166,739.49

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Solution

The fourth proportional to 316,505.25, 474,874.52 and 166,739.49 is: 250,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,505.25 : 474,874.52 = 166,739.49 : x
  2. Step 2: Convert to fraction form
    316,505.25/474,874.52 = 166,739.49/x
  3. Step 3: Cross multiply
    316,505.25x = 474,874.52 × 166,739.49
  4. Step 4: Simplify right side
    316,505.25x = 79,180,334,445.10
  5. Step 5: Solve for x
    x = 79,180,334,445.10/316,505.25
  6. Step 6: Final answer
    x = 250,170.68

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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.