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Finding the Fourth Proportional to 293,335.56, 404,769.62 and 164,256.09

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Solution

The fourth proportional to 293,335.56, 404,769.62 and 164,256.09 is: 226,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,335.56 : 404,769.62 = 164,256.09 : x
  2. Step 2: Convert to fraction form
    293,335.56/404,769.62 = 164,256.09/x
  3. Step 3: Cross multiply
    293,335.56x = 404,769.62 × 164,256.09
  4. Step 4: Simplify right side
    293,335.56x = 66,485,875,039.41
  5. Step 5: Solve for x
    x = 66,485,875,039.41/293,335.56
  6. Step 6: Final answer
    x = 226,654.67

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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.