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Finding the Fourth Proportional to 411,462.23, 567,795.76 and 227,692.73

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Solution

The fourth proportional to 411,462.23, 567,795.76 and 227,692.73 is: 314,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,462.23 : 567,795.76 = 227,692.73 : x
  2. Step 2: Convert to fraction form
    411,462.23/567,795.76 = 227,692.73/x
  3. Step 3: Cross multiply
    411,462.23x = 567,795.76 × 227,692.73
  4. Step 4: Simplify right side
    411,462.23x = 129,282,963,837.85
  5. Step 5: Solve for x
    x = 129,282,963,837.85/411,462.23
  6. Step 6: Final answer
    x = 314,203.73

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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.