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Finding the Fourth Proportional to 302,508.54, 417,454.16 and 166,541.13

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Solution

The fourth proportional to 302,508.54, 417,454.16 and 166,541.13 is: 229,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,508.54 : 417,454.16 = 166,541.13 : x
  2. Step 2: Convert to fraction form
    302,508.54/417,454.16 = 166,541.13/x
  3. Step 3: Cross multiply
    302,508.54x = 417,454.16 × 166,541.13
  4. Step 4: Simplify right side
    302,508.54x = 69,523,286,696.90
  5. Step 5: Solve for x
    x = 69,523,286,696.90/302,508.54
  6. Step 6: Final answer
    x = 229,822.56

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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.