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Finding the Fourth Proportional to 302,850.52, 417,905.16 and 178,652.14

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Solution

The fourth proportional to 302,850.52, 417,905.16 and 178,652.14 is: 246,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,850.52 : 417,905.16 = 178,652.14 : x
  2. Step 2: Convert to fraction form
    302,850.52/417,905.16 = 178,652.14/x
  3. Step 3: Cross multiply
    302,850.52x = 417,905.16 × 178,652.14
  4. Step 4: Simplify right side
    302,850.52x = 74,659,651,151.04
  5. Step 5: Solve for x
    x = 74,659,651,151.04/302,850.52
  6. Step 6: Final answer
    x = 246,523.11

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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.