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Finding the Fourth Proportional to 295,910, 443,976.80 and 177,663.84

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Solution

The fourth proportional to 295,910, 443,976.80 and 177,663.84 is: 266,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,910 : 443,976.80 = 177,663.84 : x
  2. Step 2: Convert to fraction form
    295,910/443,976.80 = 177,663.84/x
  3. Step 3: Cross multiply
    295,910x = 443,976.80 × 177,663.84
  4. Step 4: Simplify right side
    295,910x = 78,878,623,158.91
  5. Step 5: Solve for x
    x = 78,878,623,158.91/295,910
  6. Step 6: Final answer
    x = 266,562.88

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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.