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Finding the Fourth Proportional to 302,321.05, 417,212.94 and 166,364.82

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Solution

The fourth proportional to 302,321.05, 417,212.94 and 166,364.82 is: 229,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,321.05 : 417,212.94 = 166,364.82 : x
  2. Step 2: Convert to fraction form
    302,321.05/417,212.94 = 166,364.82/x
  3. Step 3: Cross multiply
    302,321.05x = 417,212.94 × 166,364.82
  4. Step 4: Simplify right side
    302,321.05x = 69,409,555,664.77
  5. Step 5: Solve for x
    x = 69,409,555,664.77/302,321.05
  6. Step 6: Final answer
    x = 229,588.89

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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.