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Finding the Fourth Proportional to 294,276, 406,072.80 and 165,184.92

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Solution

The fourth proportional to 294,276, 406,072.80 and 165,184.92 is: 227,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,276 : 406,072.80 = 165,184.92 : x
  2. Step 2: Convert to fraction form
    294,276/406,072.80 = 165,184.92/x
  3. Step 3: Cross multiply
    294,276x = 406,072.80 × 165,184.92
  4. Step 4: Simplify right side
    294,276x = 67,077,102,982.18
  5. Step 5: Solve for x
    x = 67,077,102,982.18/294,276
  6. Step 6: Final answer
    x = 227,939.43

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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.