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Finding the Fourth Proportional to 293,813.70, 405,455.67 and 171,328.38

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Solution

The fourth proportional to 293,813.70, 405,455.67 and 171,328.38 is: 236,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,813.70 : 405,455.67 = 171,328.38 : x
  2. Step 2: Convert to fraction form
    293,813.70/405,455.67 = 171,328.38/x
  3. Step 3: Cross multiply
    293,813.70x = 405,455.67 × 171,328.38
  4. Step 4: Simplify right side
    293,813.70x = 69,466,063,102.91
  5. Step 5: Solve for x
    x = 69,466,063,102.91/293,813.70
  6. Step 6: Final answer
    x = 236,428.94

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Why These Related Problems?

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