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Finding the Fourth Proportional to 522,097.20, 782,562.60 and 222,526.80

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Solution

The fourth proportional to 522,097.20, 782,562.60 and 222,526.80 is: 333,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,097.20 : 782,562.60 = 222,526.80 : x
  2. Step 2: Convert to fraction form
    522,097.20/782,562.60 = 222,526.80/x
  3. Step 3: Cross multiply
    522,097.20x = 782,562.60 × 222,526.80
  4. Step 4: Simplify right side
    522,097.20x = 174,141,151,177.68
  5. Step 5: Solve for x
    x = 174,141,151,177.68/522,097.20
  6. Step 6: Final answer
    x = 333,541.63

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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.