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Finding the Fourth Proportional to 647,280.20, 970,764.60 and 331,574.60

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Solution

The fourth proportional to 647,280.20, 970,764.60 and 331,574.60 is: 497,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,280.20 : 970,764.60 = 331,574.60 : x
  2. Step 2: Convert to fraction form
    647,280.20/970,764.60 = 331,574.60/x
  3. Step 3: Cross multiply
    647,280.20x = 970,764.60 × 331,574.60
  4. Step 4: Simplify right side
    647,280.20x = 321,880,883,939.16
  5. Step 5: Solve for x
    x = 321,880,883,939.16/647,280.20
  6. Step 6: Final answer
    x = 497,282.14

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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.