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Finding the Fourth Proportional to 297,300.26, 410,274.63 and 169,978.52

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Solution

The fourth proportional to 297,300.26, 410,274.63 and 169,978.52 is: 234,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,300.26 : 410,274.63 = 169,978.52 : x
  2. Step 2: Convert to fraction form
    297,300.26/410,274.63 = 169,978.52/x
  3. Step 3: Cross multiply
    297,300.26x = 410,274.63 × 169,978.52
  4. Step 4: Simplify right side
    297,300.26x = 69,737,872,349.57
  5. Step 5: Solve for x
    x = 69,737,872,349.57/297,300.26
  6. Step 6: Final answer
    x = 234,570.51

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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.