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Finding the Fourth Proportional to 552,216.38, 762,048.56 and 307,200.02

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Solution

The fourth proportional to 552,216.38, 762,048.56 and 307,200.02 is: 423,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,216.38 : 762,048.56 = 307,200.02 : x
  2. Step 2: Convert to fraction form
    552,216.38/762,048.56 = 307,200.02/x
  3. Step 3: Cross multiply
    552,216.38x = 762,048.56 × 307,200.02
  4. Step 4: Simplify right side
    552,216.38x = 234,101,331,336.97
  5. Step 5: Solve for x
    x = 234,101,331,336.97/552,216.38
  6. Step 6: Final answer
    x = 423,930.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.