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Finding the Fourth Proportional to 538,591.24, 807,907.38 and 201,596.41

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Solution

The fourth proportional to 538,591.24, 807,907.38 and 201,596.41 is: 302,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,591.24 : 807,907.38 = 201,596.41 : x
  2. Step 2: Convert to fraction form
    538,591.24/807,907.38 = 201,596.41/x
  3. Step 3: Cross multiply
    538,591.24x = 807,907.38 × 201,596.41
  4. Step 4: Simplify right side
    538,591.24x = 162,871,222,372.99
  5. Step 5: Solve for x
    x = 162,871,222,372.99/538,591.24
  6. Step 6: Final answer
    x = 302,402.29

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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.