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Finding the Fourth Proportional to 275,415.44, 413,125.46 and 75,746.77

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Solution

The fourth proportional to 275,415.44, 413,125.46 and 75,746.77 is: 113,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,415.44 : 413,125.46 = 75,746.77 : x
  2. Step 2: Convert to fraction form
    275,415.44/413,125.46 = 75,746.77/x
  3. Step 3: Cross multiply
    275,415.44x = 413,125.46 × 75,746.77
  4. Step 4: Simplify right side
    275,415.44x = 31,292,919,199.76
  5. Step 5: Solve for x
    x = 31,292,919,199.76/275,415.44
  6. Step 6: Final answer
    x = 113,620.79

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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.