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Finding the Fourth Proportional to 294,616.36, 406,556.10 and 167,275.24

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Solution

The fourth proportional to 294,616.36, 406,556.10 and 167,275.24 is: 230,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,616.36 : 406,556.10 = 167,275.24 : x
  2. Step 2: Convert to fraction form
    294,616.36/406,556.10 = 167,275.24/x
  3. Step 3: Cross multiply
    294,616.36x = 406,556.10 × 167,275.24
  4. Step 4: Simplify right side
    294,616.36x = 68,006,769,200.96
  5. Step 5: Solve for x
    x = 68,006,769,200.96/294,616.36
  6. Step 6: Final answer
    x = 230,831.61

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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.