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Finding the Fourth Proportional to 302,872.46, 417,964.60 and 182,015.60

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Solution

The fourth proportional to 302,872.46, 417,964.60 and 182,015.60 is: 251,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,872.46 : 417,964.60 = 182,015.60 : x
  2. Step 2: Convert to fraction form
    302,872.46/417,964.60 = 182,015.60/x
  3. Step 3: Cross multiply
    302,872.46x = 417,964.60 × 182,015.60
  4. Step 4: Simplify right side
    302,872.46x = 76,076,077,447.76
  5. Step 5: Solve for x
    x = 76,076,077,447.76/302,872.46
  6. Step 6: Final answer
    x = 251,181.89

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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.