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Finding the Fourth Proportional to 302,288.28, 417,157.72 and 166,319.38

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Solution

The fourth proportional to 302,288.28, 417,157.72 and 166,319.38 is: 229,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,288.28 : 417,157.72 = 166,319.38 : x
  2. Step 2: Convert to fraction form
    302,288.28/417,157.72 = 166,319.38/x
  3. Step 3: Cross multiply
    302,288.28x = 417,157.72 × 166,319.38
  4. Step 4: Simplify right side
    302,288.28x = 69,381,413,352.61
  5. Step 5: Solve for x
    x = 69,381,413,352.61/302,288.28
  6. Step 6: Final answer
    x = 229,520.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.