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Finding the Fourth Proportional to 411,530.13, 567,888.39 and 227,758.68

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Solution

The fourth proportional to 411,530.13, 567,888.39 and 227,758.68 is: 314,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,530.13 : 567,888.39 = 227,758.68 : x
  2. Step 2: Convert to fraction form
    411,530.13/567,888.39 = 227,758.68/x
  3. Step 3: Cross multiply
    411,530.13x = 567,888.39 × 227,758.68
  4. Step 4: Simplify right side
    411,530.13x = 129,341,510,093.73
  5. Step 5: Solve for x
    x = 129,341,510,093.73/411,530.13
  6. Step 6: Final answer
    x = 314,294.14

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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.