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Finding the Fourth Proportional to 302,567.36, 417,543 and 166,601.84

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Solution

The fourth proportional to 302,567.36, 417,543 and 166,601.84 is: 229,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,567.36 : 417,543 = 166,601.84 : x
  2. Step 2: Convert to fraction form
    302,567.36/417,543 = 166,601.84/x
  3. Step 3: Cross multiply
    302,567.36x = 417,543 × 166,601.84
  4. Step 4: Simplify right side
    302,567.36x = 69,563,432,079.12
  5. Step 5: Solve for x
    x = 69,563,432,079.12/302,567.36
  6. Step 6: Final answer
    x = 229,910.56

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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.