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Finding the Fourth Proportional to 300,692.52, 414,955.65 and 179,833.81

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Solution

The fourth proportional to 300,692.52, 414,955.65 and 179,833.81 is: 248,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,692.52 : 414,955.65 = 179,833.81 : x
  2. Step 2: Convert to fraction form
    300,692.52/414,955.65 = 179,833.81/x
  3. Step 3: Cross multiply
    300,692.52x = 414,955.65 × 179,833.81
  4. Step 4: Simplify right side
    300,692.52x = 74,623,053,445.75
  5. Step 5: Solve for x
    x = 74,623,053,445.75/300,692.52
  6. Step 6: Final answer
    x = 248,170.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.