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Finding the Fourth Proportional to 319,419.96, 440,801.64 and 176,183.88

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Solution

The fourth proportional to 319,419.96, 440,801.64 and 176,183.88 is: 243,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,419.96 : 440,801.64 = 176,183.88 : x
  2. Step 2: Convert to fraction form
    319,419.96/440,801.64 = 176,183.88/x
  3. Step 3: Cross multiply
    319,419.96x = 440,801.64 × 176,183.88
  4. Step 4: Simplify right side
    319,419.96x = 77,662,143,245.56
  5. Step 5: Solve for x
    x = 77,662,143,245.56/319,419.96
  6. Step 6: Final answer
    x = 243,134.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.