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Finding the Fourth Proportional to 312,032.82, 430,607.39 and 191,174.34

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Solution

The fourth proportional to 312,032.82, 430,607.39 and 191,174.34 is: 263,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,032.82 : 430,607.39 = 191,174.34 : x
  2. Step 2: Convert to fraction form
    312,032.82/430,607.39 = 191,174.34/x
  3. Step 3: Cross multiply
    312,032.82x = 430,607.39 × 191,174.34
  4. Step 4: Simplify right side
    312,032.82x = 82,321,083,582.37
  5. Step 5: Solve for x
    x = 82,321,083,582.37/312,032.82
  6. Step 6: Final answer
    x = 263,821.87

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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.