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Finding the Fourth Proportional to 510,454.97, 764,344.73 and 359,880.02

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Solution

The fourth proportional to 510,454.97, 764,344.73 and 359,880.02 is: 538,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,454.97 : 764,344.73 = 359,880.02 : x
  2. Step 2: Convert to fraction form
    510,454.97/764,344.73 = 359,880.02/x
  3. Step 3: Cross multiply
    510,454.97x = 764,344.73 × 359,880.02
  4. Step 4: Simplify right side
    510,454.97x = 275,072,393,797.27
  5. Step 5: Solve for x
    x = 275,072,393,797.27/510,454.97
  6. Step 6: Final answer
    x = 538,876.91

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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.