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Finding the Fourth Proportional to 412,818.60, 569,162.32 and 267,367.40

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Solution

The fourth proportional to 412,818.60, 569,162.32 and 267,367.40 is: 368,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.60 : 569,162.32 = 267,367.40 : x
  2. Step 2: Convert to fraction form
    412,818.60/569,162.32 = 267,367.40/x
  3. Step 3: Cross multiply
    412,818.60x = 569,162.32 × 267,367.40
  4. Step 4: Simplify right side
    412,818.60x = 152,175,449,676.37
  5. Step 5: Solve for x
    x = 152,175,449,676.37/412,818.60
  6. Step 6: Final answer
    x = 368,625.47

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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.