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Finding the Fourth Proportional to 522,311.52, 783,523.44 and 222,823.74

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Solution

The fourth proportional to 522,311.52, 783,523.44 and 222,823.74 is: 334,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,311.52 : 783,523.44 = 222,823.74 : x
  2. Step 2: Convert to fraction form
    522,311.52/783,523.44 = 222,823.74/x
  3. Step 3: Cross multiply
    522,311.52x = 783,523.44 × 222,823.74
  4. Step 4: Simplify right side
    522,311.52x = 174,587,623,278.47
  5. Step 5: Solve for x
    x = 174,587,623,278.47/522,311.52
  6. Step 6: Final answer
    x = 334,259.57

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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.