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Finding the Fourth Proportional to 522,270.81, 783,462.69 and 222,783.03

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Solution

The fourth proportional to 522,270.81, 783,462.69 and 222,783.03 is: 334,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,270.81 : 783,462.69 = 222,783.03 : x
  2. Step 2: Convert to fraction form
    522,270.81/783,462.69 = 222,783.03/x
  3. Step 3: Cross multiply
    522,270.81x = 783,462.69 × 222,783.03
  4. Step 4: Simplify right side
    522,270.81x = 174,542,191,970.15
  5. Step 5: Solve for x
    x = 174,542,191,970.15/522,270.81
  6. Step 6: Final answer
    x = 334,198.64

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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.