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Finding the Fourth Proportional to 294,345.54, 406,185.57 and 167,013.54

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Solution

The fourth proportional to 294,345.54, 406,185.57 and 167,013.54 is: 230,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,345.54 : 406,185.57 = 167,013.54 : x
  2. Step 2: Convert to fraction form
    294,345.54/406,185.57 = 167,013.54/x
  3. Step 3: Cross multiply
    294,345.54x = 406,185.57 × 167,013.54
  4. Step 4: Simplify right side
    294,345.54x = 67,838,489,942.62
  5. Step 5: Solve for x
    x = 67,838,489,942.62/294,345.54
  6. Step 6: Final answer
    x = 230,472.29

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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.