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Finding the Fourth Proportional to 463,709.12, 694,658.13 and 319,589.16

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Solution

The fourth proportional to 463,709.12, 694,658.13 and 319,589.16 is: 478,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709.12 : 694,658.13 = 319,589.16 : x
  2. Step 2: Convert to fraction form
    463,709.12/694,658.13 = 319,589.16/x
  3. Step 3: Cross multiply
    463,709.12x = 694,658.13 × 319,589.16
  4. Step 4: Simplify right side
    463,709.12x = 222,005,208,357.90
  5. Step 5: Solve for x
    x = 222,005,208,357.90/463,709.12
  6. Step 6: Final answer
    x = 478,759.63

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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.