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Finding the Fourth Proportional to 538,548.22, 807,960.74 and 201,593.72

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Solution

The fourth proportional to 538,548.22, 807,960.74 and 201,593.72 is: 302,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,548.22 : 807,960.74 = 201,593.72 : x
  2. Step 2: Convert to fraction form
    538,548.22/807,960.74 = 201,593.72/x
  3. Step 3: Cross multiply
    538,548.22x = 807,960.74 × 201,593.72
  4. Step 4: Simplify right side
    538,548.22x = 162,879,811,190.55
  5. Step 5: Solve for x
    x = 162,879,811,190.55/538,548.22
  6. Step 6: Final answer
    x = 302,442.39

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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.