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Finding the Fourth Proportional to 522,382.86, 782,835.21 and 222,561.54

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Solution

The fourth proportional to 522,382.86, 782,835.21 and 222,561.54 is: 333,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,382.86 : 782,835.21 = 222,561.54 : x
  2. Step 2: Convert to fraction form
    522,382.86/782,835.21 = 222,561.54/x
  3. Step 3: Cross multiply
    522,382.86x = 782,835.21 × 222,561.54
  4. Step 4: Simplify right side
    522,382.86x = 174,229,009,903.82
  5. Step 5: Solve for x
    x = 174,229,009,903.82/522,382.86
  6. Step 6: Final answer
    x = 333,527.42

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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.