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Finding the Fourth Proportional to 300,794.99, 415,097.60 and 164,807.33

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Solution

The fourth proportional to 300,794.99, 415,097.60 and 164,807.33 is: 227,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,794.99 : 415,097.60 = 164,807.33 : x
  2. Step 2: Convert to fraction form
    300,794.99/415,097.60 = 164,807.33/x
  3. Step 3: Cross multiply
    300,794.99x = 415,097.60 × 164,807.33
  4. Step 4: Simplify right side
    300,794.99x = 68,411,124,245.88
  5. Step 5: Solve for x
    x = 68,411,124,245.88/300,794.99
  6. Step 6: Final answer
    x = 227,434.39

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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.