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Finding the Fourth Proportional to 302,523.30, 417,465.63 and 166,552.11

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Solution

The fourth proportional to 302,523.30, 417,465.63 and 166,552.11 is: 229,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,523.30 : 417,465.63 = 166,552.11 : x
  2. Step 2: Convert to fraction form
    302,523.30/417,465.63 = 166,552.11/x
  3. Step 3: Cross multiply
    302,523.30x = 417,465.63 × 166,552.11
  4. Step 4: Simplify right side
    302,523.30x = 69,529,781,528.98
  5. Step 5: Solve for x
    x = 69,529,781,528.98/302,523.30
  6. Step 6: Final answer
    x = 229,832.81

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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.