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Finding the Fourth Proportional to 293,274.07, 404,751.13 and 165,957.86

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Solution

The fourth proportional to 293,274.07, 404,751.13 and 165,957.86 is: 229,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,274.07 : 404,751.13 = 165,957.86 : x
  2. Step 2: Convert to fraction form
    293,274.07/404,751.13 = 165,957.86/x
  3. Step 3: Cross multiply
    293,274.07x = 404,751.13 × 165,957.86
  4. Step 4: Simplify right side
    293,274.07x = 67,171,631,964.37
  5. Step 5: Solve for x
    x = 67,171,631,964.37/293,274.07
  6. Step 6: Final answer
    x = 229,040.48

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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.