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Finding the Fourth Proportional to 302,914.12, 418,004.42 and 166,947.64

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Solution

The fourth proportional to 302,914.12, 418,004.42 and 166,947.64 is: 230,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,914.12 : 418,004.42 = 166,947.64 : x
  2. Step 2: Convert to fraction form
    302,914.12/418,004.42 = 166,947.64/x
  3. Step 3: Cross multiply
    302,914.12x = 418,004.42 × 166,947.64
  4. Step 4: Simplify right side
    302,914.12x = 69,784,851,428.57
  5. Step 5: Solve for x
    x = 69,784,851,428.57/302,914.12
  6. Step 6: Final answer
    x = 230,378.34

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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.