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Finding the Fourth Proportional to 297,511.26, 410,566.23 and 163,383.90

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Solution

The fourth proportional to 297,511.26, 410,566.23 and 163,383.90 is: 225,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,511.26 : 410,566.23 = 163,383.90 : x
  2. Step 2: Convert to fraction form
    297,511.26/410,566.23 = 163,383.90/x
  3. Step 3: Cross multiply
    297,511.26x = 410,566.23 × 163,383.90
  4. Step 4: Simplify right side
    297,511.26x = 67,079,911,865.70
  5. Step 5: Solve for x
    x = 67,079,911,865.70/297,511.26
  6. Step 6: Final answer
    x = 225,470.16

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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.