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Finding the Fourth Proportional to 417,676.30, 626,778 and 177,789.82

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Solution

The fourth proportional to 417,676.30, 626,778 and 177,789.82 is: 266,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,676.30 : 626,778 = 177,789.82 : x
  2. Step 2: Convert to fraction form
    417,676.30/626,778 = 177,789.82/x
  3. Step 3: Cross multiply
    417,676.30x = 626,778 × 177,789.82
  4. Step 4: Simplify right side
    417,676.30x = 111,434,744,666.07
  5. Step 5: Solve for x
    x = 111,434,744,666.07/417,676.30
  6. Step 6: Final answer
    x = 266,796.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.