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Finding the Fourth Proportional to 654,767.64, 981,819.24 and 299,477.22

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Solution

The fourth proportional to 654,767.64, 981,819.24 and 299,477.22 is: 449,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,767.64 : 981,819.24 = 299,477.22 : x
  2. Step 2: Convert to fraction form
    654,767.64/981,819.24 = 299,477.22/x
  3. Step 3: Cross multiply
    654,767.64x = 981,819.24 × 299,477.22
  4. Step 4: Simplify right side
    654,767.64x = 294,032,496,537.71
  5. Step 5: Solve for x
    x = 294,032,496,537.71/654,767.64
  6. Step 6: Final answer
    x = 449,063.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.