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Finding the Fourth Proportional to 511,087, 705,270.72 and 293,249.56

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Solution

The fourth proportional to 511,087, 705,270.72 and 293,249.56 is: 404,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,087 : 705,270.72 = 293,249.56 : x
  2. Step 2: Convert to fraction form
    511,087/705,270.72 = 293,249.56/x
  3. Step 3: Cross multiply
    511,087x = 705,270.72 × 293,249.56
  4. Step 4: Simplify right side
    511,087x = 206,820,328,320.88
  5. Step 5: Solve for x
    x = 206,820,328,320.88/511,087
  6. Step 6: Final answer
    x = 404,667.56

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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.