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Finding the Fourth Proportional to 302,862.28, 417,944.34 and 166,908.82

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Solution

The fourth proportional to 302,862.28, 417,944.34 and 166,908.82 is: 230,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,862.28 : 417,944.34 = 166,908.82 : x
  2. Step 2: Convert to fraction form
    302,862.28/417,944.34 = 166,908.82/x
  3. Step 3: Cross multiply
    302,862.28x = 417,944.34 × 166,908.82
  4. Step 4: Simplify right side
    302,862.28x = 69,758,596,615.08
  5. Step 5: Solve for x
    x = 69,758,596,615.08/302,862.28
  6. Step 6: Final answer
    x = 230,331.08

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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.