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Finding the Fourth Proportional to 385,542.36, 578,296.11 and 101,226.24

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Solution

The fourth proportional to 385,542.36, 578,296.11 and 101,226.24 is: 151,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,542.36 : 578,296.11 = 101,226.24 : x
  2. Step 2: Convert to fraction form
    385,542.36/578,296.11 = 101,226.24/x
  3. Step 3: Cross multiply
    385,542.36x = 578,296.11 × 101,226.24
  4. Step 4: Simplify right side
    385,542.36x = 58,538,740,821.93
  5. Step 5: Solve for x
    x = 58,538,740,821.93/385,542.36
  6. Step 6: Final answer
    x = 151,834.78

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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.