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Finding the Fourth Proportional to 499,896.40, 749,261.40 and 200,228.80

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Solution

The fourth proportional to 499,896.40, 749,261.40 and 200,228.80 is: 300,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,896.40 : 749,261.40 = 200,228.80 : x
  2. Step 2: Convert to fraction form
    499,896.40/749,261.40 = 200,228.80/x
  3. Step 3: Cross multiply
    499,896.40x = 749,261.40 × 200,228.80
  4. Step 4: Simplify right side
    499,896.40x = 150,023,711,008.32
  5. Step 5: Solve for x
    x = 150,023,711,008.32/499,896.40
  6. Step 6: Final answer
    x = 300,109.60

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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.