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Finding the Fourth Proportional to 400,063.68, 552,097.47 and 227,977.97

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Solution

The fourth proportional to 400,063.68, 552,097.47 and 227,977.97 is: 314,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,063.68 : 552,097.47 = 227,977.97 : x
  2. Step 2: Convert to fraction form
    400,063.68/552,097.47 = 227,977.97/x
  3. Step 3: Cross multiply
    400,063.68x = 552,097.47 × 227,977.97
  4. Step 4: Simplify right side
    400,063.68x = 125,866,057,692.25
  5. Step 5: Solve for x
    x = 125,866,057,692.25/400,063.68
  6. Step 6: Final answer
    x = 314,615.06

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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.