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Finding the Fourth Proportional to 338,794.46, 507,514.07 and 203,783.97

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Solution

The fourth proportional to 338,794.46, 507,514.07 and 203,783.97 is: 305,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,794.46 : 507,514.07 = 203,783.97 : x
  2. Step 2: Convert to fraction form
    338,794.46/507,514.07 = 203,783.97/x
  3. Step 3: Cross multiply
    338,794.46x = 507,514.07 × 203,783.97
  4. Step 4: Simplify right side
    338,794.46x = 103,423,230,996.54
  5. Step 5: Solve for x
    x = 103,423,230,996.54/338,794.46
  6. Step 6: Final answer
    x = 305,268.36

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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.