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Finding the Fourth Proportional to 667,007.94, 920,470.76 and 361,084.10

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Solution

The fourth proportional to 667,007.94, 920,470.76 and 361,084.10 is: 498,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,007.94 : 920,470.76 = 361,084.10 : x
  2. Step 2: Convert to fraction form
    667,007.94/920,470.76 = 361,084.10/x
  3. Step 3: Cross multiply
    667,007.94x = 920,470.76 × 361,084.10
  4. Step 4: Simplify right side
    667,007.94x = 332,367,351,912.76
  5. Step 5: Solve for x
    x = 332,367,351,912.76/667,007.94
  6. Step 6: Final answer
    x = 498,295.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.