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Finding the Fourth Proportional to 319,209.70, 478,814.55 and 279,811.30

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Solution

The fourth proportional to 319,209.70, 478,814.55 and 279,811.30 is: 419,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,209.70 : 478,814.55 = 279,811.30 : x
  2. Step 2: Convert to fraction form
    319,209.70/478,814.55 = 279,811.30/x
  3. Step 3: Cross multiply
    319,209.70x = 478,814.55 × 279,811.30
  4. Step 4: Simplify right side
    319,209.70x = 133,977,721,694.42
  5. Step 5: Solve for x
    x = 133,977,721,694.42/319,209.70
  6. Step 6: Final answer
    x = 419,716.95

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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.