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Finding the Fourth Proportional to 319,889.44, 441,447.54 and 176,659.20

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Solution

The fourth proportional to 319,889.44, 441,447.54 and 176,659.20 is: 243,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,889.44 : 441,447.54 = 176,659.20 : x
  2. Step 2: Convert to fraction form
    319,889.44/441,447.54 = 176,659.20/x
  3. Step 3: Cross multiply
    319,889.44x = 441,447.54 × 176,659.20
  4. Step 4: Simplify right side
    319,889.44x = 77,985,769,258.37
  5. Step 5: Solve for x
    x = 77,985,769,258.37/319,889.44
  6. Step 6: Final answer
    x = 243,789.76

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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.