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Finding the Fourth Proportional to 274,922.37, 412,449.17 and 97,444.89

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Solution

The fourth proportional to 274,922.37, 412,449.17 and 97,444.89 is: 146,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,922.37 : 412,449.17 = 97,444.89 : x
  2. Step 2: Convert to fraction form
    274,922.37/412,449.17 = 97,444.89/x
  3. Step 3: Cross multiply
    274,922.37x = 412,449.17 × 97,444.89
  4. Step 4: Simplify right side
    274,922.37x = 40,191,063,514.02
  5. Step 5: Solve for x
    x = 40,191,063,514.02/274,922.37
  6. Step 6: Final answer
    x = 146,190.59

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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.