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Finding the Fourth Proportional to 299,100.47, 447,596.78 and 186,833.52

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Solution

The fourth proportional to 299,100.47, 447,596.78 and 186,833.52 is: 279,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,100.47 : 447,596.78 = 186,833.52 : x
  2. Step 2: Convert to fraction form
    299,100.47/447,596.78 = 186,833.52/x
  3. Step 3: Cross multiply
    299,100.47x = 447,596.78 × 186,833.52
  4. Step 4: Simplify right side
    299,100.47x = 83,626,081,013.90
  5. Step 5: Solve for x
    x = 83,626,081,013.90/299,100.47
  6. Step 6: Final answer
    x = 279,591.95

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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.