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Finding the Fourth Proportional to 294,149.61, 405,791.64 and 173,233.01

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Solution

The fourth proportional to 294,149.61, 405,791.64 and 173,233.01 is: 238,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,149.61 : 405,791.64 = 173,233.01 : x
  2. Step 2: Convert to fraction form
    294,149.61/405,791.64 = 173,233.01/x
  3. Step 3: Cross multiply
    294,149.61x = 405,791.64 × 173,233.01
  4. Step 4: Simplify right side
    294,149.61x = 70,296,508,244.52
  5. Step 5: Solve for x
    x = 70,296,508,244.52/294,149.61
  6. Step 6: Final answer
    x = 238,982.16

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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.