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Finding the Fourth Proportional to 511,105.35, 705,308.85 and 293,349.87

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Solution

The fourth proportional to 511,105.35, 705,308.85 and 293,349.87 is: 404,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,105.35 : 705,308.85 = 293,349.87 : x
  2. Step 2: Convert to fraction form
    511,105.35/705,308.85 = 293,349.87/x
  3. Step 3: Cross multiply
    511,105.35x = 705,308.85 × 293,349.87
  4. Step 4: Simplify right side
    511,105.35x = 206,902,259,457.35
  5. Step 5: Solve for x
    x = 206,902,259,457.35/511,105.35
  6. Step 6: Final answer
    x = 404,813.33

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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.