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Finding the Fourth Proportional to 302,471.96, 417,396.96 and 166,503.11

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Solution

The fourth proportional to 302,471.96, 417,396.96 and 166,503.11 is: 229,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,471.96 : 417,396.96 = 166,503.11 : x
  2. Step 2: Convert to fraction form
    302,471.96/417,396.96 = 166,503.11/x
  3. Step 3: Cross multiply
    302,471.96x = 417,396.96 × 166,503.11
  4. Step 4: Simplify right side
    302,471.96x = 69,497,891,944.55
  5. Step 5: Solve for x
    x = 69,497,891,944.55/302,471.96
  6. Step 6: Final answer
    x = 229,766.40

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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.