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Finding the Fourth Proportional to 577,399.44, 866,043.41 and 177,932.96

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Solution

The fourth proportional to 577,399.44, 866,043.41 and 177,932.96 is: 266,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,399.44 : 866,043.41 = 177,932.96 : x
  2. Step 2: Convert to fraction form
    577,399.44/866,043.41 = 177,932.96/x
  3. Step 3: Cross multiply
    577,399.44x = 866,043.41 × 177,932.96
  4. Step 4: Simplify right side
    577,399.44x = 154,097,662,209.91
  5. Step 5: Solve for x
    x = 154,097,662,209.91/577,399.44
  6. Step 6: Final answer
    x = 266,882.25

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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.