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Finding the Fourth Proportional to 463,711.12, 694,661.12 and 319,591.16

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Solution

The fourth proportional to 463,711.12, 694,661.12 and 319,591.16 is: 478,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,711.12 : 694,661.12 = 319,591.16 : x
  2. Step 2: Convert to fraction form
    463,711.12/694,661.12 = 319,591.16/x
  3. Step 3: Cross multiply
    463,711.12x = 694,661.12 × 319,591.16
  4. Step 4: Simplify right side
    463,711.12x = 222,007,553,147.70
  5. Step 5: Solve for x
    x = 222,007,553,147.70/463,711.12
  6. Step 6: Final answer
    x = 478,762.63

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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.