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Finding the Fourth Proportional to 302,860.30, 417,941.58 and 166,906.84

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Solution

The fourth proportional to 302,860.30, 417,941.58 and 166,906.84 is: 230,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,860.30 : 417,941.58 = 166,906.84 : x
  2. Step 2: Convert to fraction form
    302,860.30/417,941.58 = 166,906.84/x
  3. Step 3: Cross multiply
    302,860.30x = 417,941.58 × 166,906.84
  4. Step 4: Simplify right side
    302,860.30x = 69,757,308,422.41
  5. Step 5: Solve for x
    x = 69,757,308,422.41/302,860.30
  6. Step 6: Final answer
    x = 230,328.33

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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.