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Finding the Fourth Proportional to 475,789, 656,588.82 and 263,821

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Solution

The fourth proportional to 475,789, 656,588.82 and 263,821 is: 364,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,789 : 656,588.82 = 263,821 : x
  2. Step 2: Convert to fraction form
    475,789/656,588.82 = 263,821/x
  3. Step 3: Cross multiply
    475,789x = 656,588.82 × 263,821
  4. Step 4: Simplify right side
    475,789x = 173,221,919,081.22
  5. Step 5: Solve for x
    x = 173,221,919,081.22/475,789
  6. Step 6: Final answer
    x = 364,072.98

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