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Finding the Fourth Proportional to 302,481.44, 417,429.72 and 164,664.36

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Solution

The fourth proportional to 302,481.44, 417,429.72 and 164,664.36 is: 227,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,481.44 : 417,429.72 = 164,664.36 : x
  2. Step 2: Convert to fraction form
    302,481.44/417,429.72 = 164,664.36/x
  3. Step 3: Cross multiply
    302,481.44x = 417,429.72 × 164,664.36
  4. Step 4: Simplify right side
    302,481.44x = 68,735,797,688.78
  5. Step 5: Solve for x
    x = 68,735,797,688.78/302,481.44
  6. Step 6: Final answer
    x = 227,239.72

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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.