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Finding the Fourth Proportional to 538,134.14, 807,202.23 and 505,251.23

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Solution

The fourth proportional to 538,134.14, 807,202.23 and 505,251.23 is: 757,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,134.14 : 807,202.23 = 505,251.23 : x
  2. Step 2: Convert to fraction form
    538,134.14/807,202.23 = 505,251.23/x
  3. Step 3: Cross multiply
    538,134.14x = 807,202.23 × 505,251.23
  4. Step 4: Simplify right side
    538,134.14x = 407,839,915,530.23
  5. Step 5: Solve for x
    x = 407,839,915,530.23/538,134.14
  6. Step 6: Final answer
    x = 757,877.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.