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Finding the Fourth Proportional to 316,982.96, 475,770.24 and 167,333.84

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Solution

The fourth proportional to 316,982.96, 475,770.24 and 167,333.84 is: 251,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,982.96 : 475,770.24 = 167,333.84 : x
  2. Step 2: Convert to fraction form
    316,982.96/475,770.24 = 167,333.84/x
  3. Step 3: Cross multiply
    316,982.96x = 475,770.24 × 167,333.84
  4. Step 4: Simplify right side
    316,982.96x = 79,612,461,216.92
  5. Step 5: Solve for x
    x = 79,612,461,216.92/316,982.96
  6. Step 6: Final answer
    x = 251,156.91

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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.