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Finding the Fourth Proportional to 302,212.82, 417,007.44 and 174,863.81

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Solution

The fourth proportional to 302,212.82, 417,007.44 and 174,863.81 is: 241,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,212.82 : 417,007.44 = 174,863.81 : x
  2. Step 2: Convert to fraction form
    302,212.82/417,007.44 = 174,863.81/x
  3. Step 3: Cross multiply
    302,212.82x = 417,007.44 × 174,863.81
  4. Step 4: Simplify right side
    302,212.82x = 72,919,510,799.27
  5. Step 5: Solve for x
    x = 72,919,510,799.27/302,212.82
  6. Step 6: Final answer
    x = 241,285.30

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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.