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Finding the Fourth Proportional to 552,004.30, 827,022.30 and 467,367.40

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Solution

The fourth proportional to 552,004.30, 827,022.30 and 467,367.40 is: 700,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,004.30 : 827,022.30 = 467,367.40 : x
  2. Step 2: Convert to fraction form
    552,004.30/827,022.30 = 467,367.40/x
  3. Step 3: Cross multiply
    552,004.30x = 827,022.30 × 467,367.40
  4. Step 4: Simplify right side
    552,004.30x = 386,523,262,093.02
  5. Step 5: Solve for x
    x = 386,523,262,093.02/552,004.30
  6. Step 6: Final answer
    x = 700,217.85

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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.