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Finding the Fourth Proportional to 285,984.40, 428,976.60 and 254,491.60

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Solution

The fourth proportional to 285,984.40, 428,976.60 and 254,491.60 is: 381,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.40 : 428,976.60 = 254,491.60 : x
  2. Step 2: Convert to fraction form
    285,984.40/428,976.60 = 254,491.60/x
  3. Step 3: Cross multiply
    285,984.40x = 428,976.60 × 254,491.60
  4. Step 4: Simplify right side
    285,984.40x = 109,170,941,296.56
  5. Step 5: Solve for x
    x = 109,170,941,296.56/285,984.40
  6. Step 6: Final answer
    x = 381,737.40

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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.