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Finding the Fourth Proportional to 297,875.28, 411,067.86 and 163,739.28

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Solution

The fourth proportional to 297,875.28, 411,067.86 and 163,739.28 is: 225,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,875.28 : 411,067.86 = 163,739.28 : x
  2. Step 2: Convert to fraction form
    297,875.28/411,067.86 = 163,739.28/x
  3. Step 3: Cross multiply
    297,875.28x = 411,067.86 × 163,739.28
  4. Step 4: Simplify right side
    297,875.28x = 67,307,955,427.54
  5. Step 5: Solve for x
    x = 67,307,955,427.54/297,875.28
  6. Step 6: Final answer
    x = 225,960.19

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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.