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Finding the Fourth Proportional to 493,803.20, 740,704.80 and 294,348.80

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Solution

The fourth proportional to 493,803.20, 740,704.80 and 294,348.80 is: 441,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,803.20 : 740,704.80 = 294,348.80 : x
  2. Step 2: Convert to fraction form
    493,803.20/740,704.80 = 294,348.80/x
  3. Step 3: Cross multiply
    493,803.20x = 740,704.80 × 294,348.80
  4. Step 4: Simplify right side
    493,803.20x = 218,025,569,034.24
  5. Step 5: Solve for x
    x = 218,025,569,034.24/493,803.20
  6. Step 6: Final answer
    x = 441,523.20

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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.