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Finding the Fourth Proportional to 297,299.76, 410,273.94 and 169,978.02

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Solution

The fourth proportional to 297,299.76, 410,273.94 and 169,978.02 is: 234,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,299.76 : 410,273.94 = 169,978.02 : x
  2. Step 2: Convert to fraction form
    297,299.76/410,273.94 = 169,978.02/x
  3. Step 3: Cross multiply
    297,299.76x = 410,273.94 × 169,978.02
  4. Step 4: Simplify right side
    297,299.76x = 69,737,551,978.80
  5. Step 5: Solve for x
    x = 69,737,551,978.80/297,299.76
  6. Step 6: Final answer
    x = 234,569.82

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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.