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Finding the Fourth Proportional to 277,100.68, 414,991.22 and 176,950.66

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Solution

The fourth proportional to 277,100.68, 414,991.22 and 176,950.66 is: 265,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,100.68 : 414,991.22 = 176,950.66 : x
  2. Step 2: Convert to fraction form
    277,100.68/414,991.22 = 176,950.66/x
  3. Step 3: Cross multiply
    277,100.68x = 414,991.22 × 176,950.66
  4. Step 4: Simplify right side
    277,100.68x = 73,432,970,273.21
  5. Step 5: Solve for x
    x = 73,432,970,273.21/277,100.68
  6. Step 6: Final answer
    x = 265,004.66

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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.