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Finding the Fourth Proportional to 511,514.25, 705,596.66 and 320,195.49

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Solution

The fourth proportional to 511,514.25, 705,596.66 and 320,195.49 is: 441,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,514.25 : 705,596.66 = 320,195.49 : x
  2. Step 2: Convert to fraction form
    511,514.25/705,596.66 = 320,195.49/x
  3. Step 3: Cross multiply
    511,514.25x = 705,596.66 × 320,195.49
  4. Step 4: Simplify right side
    511,514.25x = 225,928,866,690.09
  5. Step 5: Solve for x
    x = 225,928,866,690.09/511,514.25
  6. Step 6: Final answer
    x = 441,686.36

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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.