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Finding the Fourth Proportional to 613,711.84, 920,600.57 and 193,020.52

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Solution

The fourth proportional to 613,711.84, 920,600.57 and 193,020.52 is: 289,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,711.84 : 920,600.57 = 193,020.52 : x
  2. Step 2: Convert to fraction form
    613,711.84/920,600.57 = 193,020.52/x
  3. Step 3: Cross multiply
    613,711.84x = 920,600.57 × 193,020.52
  4. Step 4: Simplify right side
    613,711.84x = 177,694,800,733.70
  5. Step 5: Solve for x
    x = 177,694,800,733.70/613,711.84
  6. Step 6: Final answer
    x = 289,541.10

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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.