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Finding the Fourth Proportional to 499,183.32, 748,234.98 and 199,334.28

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Solution

The fourth proportional to 499,183.32, 748,234.98 and 199,334.28 is: 298,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,183.32 : 748,234.98 = 199,334.28 : x
  2. Step 2: Convert to fraction form
    499,183.32/748,234.98 = 199,334.28/x
  3. Step 3: Cross multiply
    499,183.32x = 748,234.98 × 199,334.28
  4. Step 4: Simplify right side
    499,183.32x = 149,148,881,009.11
  5. Step 5: Solve for x
    x = 149,148,881,009.11/499,183.32
  6. Step 6: Final answer
    x = 298,785.79

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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.