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Finding the Fourth Proportional to 319,081.80, 478,622.70 and 279,715.80

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Solution

The fourth proportional to 319,081.80, 478,622.70 and 279,715.80 is: 419,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,081.80 : 478,622.70 = 279,715.80 : x
  2. Step 2: Convert to fraction form
    319,081.80/478,622.70 = 279,715.80/x
  3. Step 3: Cross multiply
    319,081.80x = 478,622.70 × 279,715.80
  4. Step 4: Simplify right side
    319,081.80x = 133,878,331,428.66
  5. Step 5: Solve for x
    x = 133,878,331,428.66/319,081.80
  6. Step 6: Final answer
    x = 419,573.70

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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.