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Finding the Fourth Proportional to 499,474.46, 749,086.98 and 195,930.32

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Solution

The fourth proportional to 499,474.46, 749,086.98 and 195,930.32 is: 293,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,474.46 : 749,086.98 = 195,930.32 : x
  2. Step 2: Convert to fraction form
    499,474.46/749,086.98 = 195,930.32/x
  3. Step 3: Cross multiply
    499,474.46x = 749,086.98 × 195,930.32
  4. Step 4: Simplify right side
    499,474.46x = 146,768,851,699.23
  5. Step 5: Solve for x
    x = 146,768,851,699.23/499,474.46
  6. Step 6: Final answer
    x = 293,846.56

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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.