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Finding the Fourth Proportional to 400,426.48, 600,692.56 and 147,884.47

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Solution

The fourth proportional to 400,426.48, 600,692.56 and 147,884.47 is: 221,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,426.48 : 600,692.56 = 147,884.47 : x
  2. Step 2: Convert to fraction form
    400,426.48/600,692.56 = 147,884.47/x
  3. Step 3: Cross multiply
    400,426.48x = 600,692.56 × 147,884.47
  4. Step 4: Simplify right side
    400,426.48x = 88,833,100,868.54
  5. Step 5: Solve for x
    x = 88,833,100,868.54/400,426.48
  6. Step 6: Final answer
    x = 221,846.22

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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.