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Finding the Fourth Proportional to 297,696, 410,826.96 and 163,560

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Solution

The fourth proportional to 297,696, 410,826.96 and 163,560 is: 225,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,696 : 410,826.96 = 163,560 : x
  2. Step 2: Convert to fraction form
    297,696/410,826.96 = 163,560/x
  3. Step 3: Cross multiply
    297,696x = 410,826.96 × 163,560
  4. Step 4: Simplify right side
    297,696x = 67,194,857,577.60
  5. Step 5: Solve for x
    x = 67,194,857,577.60/297,696
  6. Step 6: Final answer
    x = 225,716.36

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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.