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Finding the Fourth Proportional to 302,910.30, 417,997.35 and 166,936.68

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Solution

The fourth proportional to 302,910.30, 417,997.35 and 166,936.68 is: 230,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,910.30 : 417,997.35 = 166,936.68 : x
  2. Step 2: Convert to fraction form
    302,910.30/417,997.35 = 166,936.68/x
  3. Step 3: Cross multiply
    302,910.30x = 417,997.35 × 166,936.68
  4. Step 4: Simplify right side
    302,910.30x = 69,779,089,857.80
  5. Step 5: Solve for x
    x = 69,779,089,857.80/302,910.30
  6. Step 6: Final answer
    x = 230,362.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.