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Finding the Fourth Proportional to 457,625.86, 685,358.94 and 232,427.83

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Solution

The fourth proportional to 457,625.86, 685,358.94 and 232,427.83 is: 348,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,625.86 : 685,358.94 = 232,427.83 : x
  2. Step 2: Convert to fraction form
    457,625.86/685,358.94 = 232,427.83/x
  3. Step 3: Cross multiply
    457,625.86x = 685,358.94 × 232,427.83
  4. Step 4: Simplify right side
    457,625.86x = 159,296,491,195.30
  5. Step 5: Solve for x
    x = 159,296,491,195.30/457,625.86
  6. Step 6: Final answer
    x = 348,093.29

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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.