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Finding the Fourth Proportional to 310,661.76, 465,245.22 and 177,137.22

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Solution

The fourth proportional to 310,661.76, 465,245.22 and 177,137.22 is: 265,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,661.76 : 465,245.22 = 177,137.22 : x
  2. Step 2: Convert to fraction form
    310,661.76/465,245.22 = 177,137.22/x
  3. Step 3: Cross multiply
    310,661.76x = 465,245.22 × 177,137.22
  4. Step 4: Simplify right side
    310,661.76x = 82,412,244,889.09
  5. Step 5: Solve for x
    x = 82,412,244,889.09/310,661.76
  6. Step 6: Final answer
    x = 265,279.66

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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.