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Finding the Fourth Proportional to 492,223.16, 738,019.44 and 207,836.61

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Solution

The fourth proportional to 492,223.16, 738,019.44 and 207,836.61 is: 311,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,223.16 : 738,019.44 = 207,836.61 : x
  2. Step 2: Convert to fraction form
    492,223.16/738,019.44 = 207,836.61/x
  3. Step 3: Cross multiply
    492,223.16x = 738,019.44 × 207,836.61
  4. Step 4: Simplify right side
    492,223.16x = 153,387,458,523.70
  5. Step 5: Solve for x
    x = 153,387,458,523.70/492,223.16
  6. Step 6: Final answer
    x = 311,621.79

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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.