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Finding the Fourth Proportional to 302,816.49, 417,884.69 and 166,847.30

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Solution

The fourth proportional to 302,816.49, 417,884.69 and 166,847.30 is: 230,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,816.49 : 417,884.69 = 166,847.30 : x
  2. Step 2: Convert to fraction form
    302,816.49/417,884.69 = 166,847.30/x
  3. Step 3: Cross multiply
    302,816.49x = 417,884.69 × 166,847.30
  4. Step 4: Simplify right side
    302,816.49x = 69,722,929,314.18
  5. Step 5: Solve for x
    x = 69,722,929,314.18/302,816.49
  6. Step 6: Final answer
    x = 230,248.13

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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.