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Finding the Fourth Proportional to 302,569.29, 417,542.18 and 166,600.40

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Solution

The fourth proportional to 302,569.29, 417,542.18 and 166,600.40 is: 229,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,569.29 : 417,542.18 = 166,600.40 : x
  2. Step 2: Convert to fraction form
    302,569.29/417,542.18 = 166,600.40/x
  3. Step 3: Cross multiply
    302,569.29x = 417,542.18 × 166,600.40
  4. Step 4: Simplify right side
    302,569.29x = 69,562,691,284.16
  5. Step 5: Solve for x
    x = 69,562,691,284.16/302,569.29
  6. Step 6: Final answer
    x = 229,906.65

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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.