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Finding the Fourth Proportional to 302,498.64, 417,429.72 and 166,506.12

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Solution

The fourth proportional to 302,498.64, 417,429.72 and 166,506.12 is: 229,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,498.64 : 417,429.72 = 166,506.12 : x
  2. Step 2: Convert to fraction form
    302,498.64/417,429.72 = 166,506.12/x
  3. Step 3: Cross multiply
    302,498.64x = 417,429.72 × 166,506.12
  4. Step 4: Simplify right side
    302,498.64x = 69,504,603,049.89
  5. Step 5: Solve for x
    x = 69,504,603,049.89/302,498.64
  6. Step 6: Final answer
    x = 229,768.32

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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.