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Finding the Fourth Proportional to 522,048.20, 782,489.10 and 222,477.80

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Solution

The fourth proportional to 522,048.20, 782,489.10 and 222,477.80 is: 333,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,048.20 : 782,489.10 = 222,477.80 : x
  2. Step 2: Convert to fraction form
    522,048.20/782,489.10 = 222,477.80/x
  3. Step 3: Cross multiply
    522,048.20x = 782,489.10 × 222,477.80
  4. Step 4: Simplify right side
    522,048.20x = 174,086,453,491.98
  5. Step 5: Solve for x
    x = 174,086,453,491.98/522,048.20
  6. Step 6: Final answer
    x = 333,468.16

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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.