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Finding the Fourth Proportional to 302,859.68, 417,949.16 and 166,898.48

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Solution

The fourth proportional to 302,859.68, 417,949.16 and 166,898.48 is: 230,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859.68 : 417,949.16 = 166,898.48 : x
  2. Step 2: Convert to fraction form
    302,859.68/417,949.16 = 166,898.48/x
  3. Step 3: Cross multiply
    302,859.68x = 417,949.16 × 166,898.48
  4. Step 4: Simplify right side
    302,859.68x = 69,755,079,521.28
  5. Step 5: Solve for x
    x = 69,755,079,521.28/302,859.68
  6. Step 6: Final answer
    x = 230,321.45

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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.