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Finding the Fourth Proportional to 310,321.78, 465,151.88 and 176,914.78

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Solution

The fourth proportional to 310,321.78, 465,151.88 and 176,914.78 is: 265,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,321.78 : 465,151.88 = 176,914.78 : x
  2. Step 2: Convert to fraction form
    310,321.78/465,151.88 = 176,914.78/x
  3. Step 3: Cross multiply
    310,321.78x = 465,151.88 × 176,914.78
  4. Step 4: Simplify right side
    310,321.78x = 82,292,241,796.19
  5. Step 5: Solve for x
    x = 82,292,241,796.19/310,321.78
  6. Step 6: Final answer
    x = 265,183.59

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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.