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Finding the Fourth Proportional to 537,803.20, 806,704.80 and 514,183.60

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Solution

The fourth proportional to 537,803.20, 806,704.80 and 514,183.60 is: 771,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,803.20 : 806,704.80 = 514,183.60 : x
  2. Step 2: Convert to fraction form
    537,803.20/806,704.80 = 514,183.60/x
  3. Step 3: Cross multiply
    537,803.20x = 806,704.80 × 514,183.60
  4. Step 4: Simplify right side
    537,803.20x = 414,794,378,201.28
  5. Step 5: Solve for x
    x = 414,794,378,201.28/537,803.20
  6. Step 6: Final answer
    x = 771,275.40

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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.