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Finding the Fourth Proportional to 512,562.40, 768,260.10 and 227,825.24

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Solution

The fourth proportional to 512,562.40, 768,260.10 and 227,825.24 is: 341,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,562.40 : 768,260.10 = 227,825.24 : x
  2. Step 2: Convert to fraction form
    512,562.40/768,260.10 = 227,825.24/x
  3. Step 3: Cross multiply
    512,562.40x = 768,260.10 × 227,825.24
  4. Step 4: Simplify right side
    512,562.40x = 175,029,041,664.92
  5. Step 5: Solve for x
    x = 175,029,041,664.92/512,562.40
  6. Step 6: Final answer
    x = 341,478.50

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1.5x scale

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.