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Finding the Fourth Proportional to 302,884.25, 417,983.10 and 166,923.17

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Solution

The fourth proportional to 302,884.25, 417,983.10 and 166,923.17 is: 230,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,884.25 : 417,983.10 = 166,923.17 : x
  2. Step 2: Convert to fraction form
    302,884.25/417,983.10 = 166,923.17/x
  3. Step 3: Cross multiply
    302,884.25x = 417,983.10 × 166,923.17
  4. Step 4: Simplify right side
    302,884.25x = 69,771,064,058.43
  5. Step 5: Solve for x
    x = 69,771,064,058.43/302,884.25
  6. Step 6: Final answer
    x = 230,355.54

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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.