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Finding the Fourth Proportional to 302,253.49, 417,109.84 and 166,284.53

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Solution

The fourth proportional to 302,253.49, 417,109.84 and 166,284.53 is: 229,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,253.49 : 417,109.84 = 166,284.53 : x
  2. Step 2: Convert to fraction form
    302,253.49/417,109.84 = 166,284.53/x
  3. Step 3: Cross multiply
    302,253.49x = 417,109.84 × 166,284.53
  4. Step 4: Simplify right side
    302,253.49x = 69,358,912,765.68
  5. Step 5: Solve for x
    x = 69,358,912,765.68/302,253.49
  6. Step 6: Final answer
    x = 229,472.66

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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.