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Finding the Fourth Proportional to 511,589.54, 706,004.97 and 282,153.80

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Solution

The fourth proportional to 511,589.54, 706,004.97 and 282,153.80 is: 389,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,589.54 : 706,004.97 = 282,153.80 : x
  2. Step 2: Convert to fraction form
    511,589.54/706,004.97 = 282,153.80/x
  3. Step 3: Cross multiply
    511,589.54x = 706,004.97 × 282,153.80
  4. Step 4: Simplify right side
    511,589.54x = 199,201,985,104.39
  5. Step 5: Solve for x
    x = 199,201,985,104.39/511,589.54
  6. Step 6: Final answer
    x = 389,378.53

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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.