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Finding the Fourth Proportional to 411,477.05, 567,839.17 and 230,192.01

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Solution

The fourth proportional to 411,477.05, 567,839.17 and 230,192.01 is: 317,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,477.05 : 567,839.17 = 230,192.01 : x
  2. Step 2: Convert to fraction form
    411,477.05/567,839.17 = 230,192.01/x
  3. Step 3: Cross multiply
    411,477.05x = 567,839.17 × 230,192.01
  4. Step 4: Simplify right side
    411,477.05x = 130,712,040,186.77
  5. Step 5: Solve for x
    x = 130,712,040,186.77/411,477.05
  6. Step 6: Final answer
    x = 317,665.44

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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.