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Finding the Fourth Proportional to 294,710.62, 406,523.40 and 179,936.86

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Solution

The fourth proportional to 294,710.62, 406,523.40 and 179,936.86 is: 248,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,710.62 : 406,523.40 = 179,936.86 : x
  2. Step 2: Convert to fraction form
    294,710.62/406,523.40 = 179,936.86/x
  3. Step 3: Cross multiply
    294,710.62x = 406,523.40 × 179,936.86
  4. Step 4: Simplify right side
    294,710.62x = 73,148,544,112.52
  5. Step 5: Solve for x
    x = 73,148,544,112.52/294,710.62
  6. Step 6: Final answer
    x = 248,204.64

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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.