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Finding the Fourth Proportional to 472,745.38, 709,022.70 and 173,123.68

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Solution

The fourth proportional to 472,745.38, 709,022.70 and 173,123.68 is: 259,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,745.38 : 709,022.70 = 173,123.68 : x
  2. Step 2: Convert to fraction form
    472,745.38/709,022.70 = 173,123.68/x
  3. Step 3: Cross multiply
    472,745.38x = 709,022.70 × 173,123.68
  4. Step 4: Simplify right side
    472,745.38x = 122,748,619,027.54
  5. Step 5: Solve for x
    x = 122,748,619,027.54/472,745.38
  6. Step 6: Final answer
    x = 259,650.59

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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.