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Finding the Fourth Proportional to 470,796.68, 705,249.48 and 217,722.44

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Solution

The fourth proportional to 470,796.68, 705,249.48 and 217,722.44 is: 326,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,796.68 : 705,249.48 = 217,722.44 : x
  2. Step 2: Convert to fraction form
    470,796.68/705,249.48 = 217,722.44/x
  3. Step 3: Cross multiply
    470,796.68x = 705,249.48 × 217,722.44
  4. Step 4: Simplify right side
    470,796.68x = 153,548,637,594.33
  5. Step 5: Solve for x
    x = 153,548,637,594.33/470,796.68
  6. Step 6: Final answer
    x = 326,146.39

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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.