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Finding the Fourth Proportional to 296,057.40, 443,826.90 and 177,775.80

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Solution

The fourth proportional to 296,057.40, 443,826.90 and 177,775.80 is: 266,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.40 : 443,826.90 = 177,775.80 : x
  2. Step 2: Convert to fraction form
    296,057.40/443,826.90 = 177,775.80/x
  3. Step 3: Cross multiply
    296,057.40x = 443,826.90 × 177,775.80
  4. Step 4: Simplify right side
    296,057.40x = 78,901,682,209.02
  5. Step 5: Solve for x
    x = 78,901,682,209.02/296,057.40
  6. Step 6: Final answer
    x = 266,508.06

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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.