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Finding the Fourth Proportional to 243,311, 364,966.28 and 177,171.84

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Solution

The fourth proportional to 243,311, 364,966.28 and 177,171.84 is: 265,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,311 : 364,966.28 = 177,171.84 : x
  2. Step 2: Convert to fraction form
    243,311/364,966.28 = 177,171.84/x
  3. Step 3: Cross multiply
    243,311x = 364,966.28 × 177,171.84
  4. Step 4: Simplify right side
    243,311x = 64,661,747,365.56
  5. Step 5: Solve for x
    x = 64,661,747,365.56/243,311
  6. Step 6: Final answer
    x = 265,757.60

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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.