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Finding the Fourth Proportional to 463,057, 694,585.49 and 305,248.54

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Solution

The fourth proportional to 463,057, 694,585.49 and 305,248.54 is: 457,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,057 : 694,585.49 = 305,248.54 : x
  2. Step 2: Convert to fraction form
    463,057/694,585.49 = 305,248.54/x
  3. Step 3: Cross multiply
    463,057x = 694,585.49 × 305,248.54
  4. Step 4: Simplify right side
    463,057x = 212,021,206,727.69
  5. Step 5: Solve for x
    x = 212,021,206,727.69/463,057
  6. Step 6: Final answer
    x = 457,872.80

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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.