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Finding the Fourth Proportional to 415,094.88, 622,894.32 and 165,756

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Solution

The fourth proportional to 415,094.88, 622,894.32 and 165,756 is: 248,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,094.88 : 622,894.32 = 165,756 : x
  2. Step 2: Convert to fraction form
    415,094.88/622,894.32 = 165,756/x
  3. Step 3: Cross multiply
    415,094.88x = 622,894.32 × 165,756
  4. Step 4: Simplify right side
    415,094.88x = 103,248,470,905.92
  5. Step 5: Solve for x
    x = 103,248,470,905.92/415,094.88
  6. Step 6: Final answer
    x = 248,734.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.