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Finding the Fourth Proportional to 463,046.56, 694,464.32 and 223,037.84

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Solution

The fourth proportional to 463,046.56, 694,464.32 and 223,037.84 is: 334,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,046.56 : 694,464.32 = 223,037.84 : x
  2. Step 2: Convert to fraction form
    463,046.56/694,464.32 = 223,037.84/x
  3. Step 3: Cross multiply
    463,046.56x = 694,464.32 × 223,037.84
  4. Step 4: Simplify right side
    463,046.56x = 154,891,821,889.87
  5. Step 5: Solve for x
    x = 154,891,821,889.87/463,046.56
  6. Step 6: Final answer
    x = 334,505.93

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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.