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Finding the Fourth Proportional to 538,828.36, 743,633.03 and 309,415.70

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Solution

The fourth proportional to 538,828.36, 743,633.03 and 309,415.70 is: 427,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,828.36 : 743,633.03 = 309,415.70 : x
  2. Step 2: Convert to fraction form
    538,828.36/743,633.03 = 309,415.70/x
  3. Step 3: Cross multiply
    538,828.36x = 743,633.03 × 309,415.70
  4. Step 4: Simplify right side
    538,828.36x = 230,091,737,153.19
  5. Step 5: Solve for x
    x = 230,091,737,153.19/538,828.36
  6. Step 6: Final answer
    x = 427,022.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.