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Finding the Fourth Proportional to 299,769.36, 413,676.72 and 163,800.33

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Solution

The fourth proportional to 299,769.36, 413,676.72 and 163,800.33 is: 226,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,769.36 : 413,676.72 = 163,800.33 : x
  2. Step 2: Convert to fraction form
    299,769.36/413,676.72 = 163,800.33/x
  3. Step 3: Cross multiply
    299,769.36x = 413,676.72 × 163,800.33
  4. Step 4: Simplify right side
    299,769.36x = 67,760,381,698.03
  5. Step 5: Solve for x
    x = 67,760,381,698.03/299,769.36
  6. Step 6: Final answer
    x = 226,041.72

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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.