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Finding the Fourth Proportional to 384,091.68, 529,993.44 and 214,292.80

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Solution

The fourth proportional to 384,091.68, 529,993.44 and 214,292.80 is: 295,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,091.68 : 529,993.44 = 214,292.80 : x
  2. Step 2: Convert to fraction form
    384,091.68/529,993.44 = 214,292.80/x
  3. Step 3: Cross multiply
    384,091.68x = 529,993.44 × 214,292.80
  4. Step 4: Simplify right side
    384,091.68x = 113,573,778,239.23
  5. Step 5: Solve for x
    x = 113,573,778,239.23/384,091.68
  6. Step 6: Final answer
    x = 295,694.45

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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.