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Finding the Fourth Proportional to 294,508.30, 406,410.63 and 179,978.61

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Solution

The fourth proportional to 294,508.30, 406,410.63 and 179,978.61 is: 248,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,508.30 : 406,410.63 = 179,978.61 : x
  2. Step 2: Convert to fraction form
    294,508.30/406,410.63 = 179,978.61/x
  3. Step 3: Cross multiply
    294,508.30x = 406,410.63 × 179,978.61
  4. Step 4: Simplify right side
    294,508.30x = 73,145,220,276.62
  5. Step 5: Solve for x
    x = 73,145,220,276.62/294,508.30
  6. Step 6: Final answer
    x = 248,363.87

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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.