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Finding the Fourth Proportional to 297,406.44, 410,415.78 and 163,269.48

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Solution

The fourth proportional to 297,406.44, 410,415.78 and 163,269.48 is: 225,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,406.44 : 410,415.78 = 163,269.48 : x
  2. Step 2: Convert to fraction form
    297,406.44/410,415.78 = 163,269.48/x
  3. Step 3: Cross multiply
    297,406.44x = 410,415.78 × 163,269.48
  4. Step 4: Simplify right side
    297,406.44x = 67,008,370,984.39
  5. Step 5: Solve for x
    x = 67,008,370,984.39/297,406.44
  6. Step 6: Final answer
    x = 225,309.08

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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.