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Finding the Fourth Proportional to 511,843.39, 706,346.33 and 282,400.66

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Solution

The fourth proportional to 511,843.39, 706,346.33 and 282,400.66 is: 389,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,843.39 : 706,346.33 = 282,400.66 : x
  2. Step 2: Convert to fraction form
    511,843.39/706,346.33 = 282,400.66/x
  3. Step 3: Cross multiply
    511,843.39x = 706,346.33 × 282,400.66
  4. Step 4: Simplify right side
    511,843.39x = 199,472,669,251.51
  5. Step 5: Solve for x
    x = 199,472,669,251.51/511,843.39
  6. Step 6: Final answer
    x = 389,714.26

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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.