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Finding the Fourth Proportional to 511,536.35, 705,910.84 and 282,114.86

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Solution

The fourth proportional to 511,536.35, 705,910.84 and 282,114.86 is: 389,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,536.35 : 705,910.84 = 282,114.86 : x
  2. Step 2: Convert to fraction form
    511,536.35/705,910.84 = 282,114.86/x
  3. Step 3: Cross multiply
    511,536.35x = 705,910.84 × 282,114.86
  4. Step 4: Simplify right side
    511,536.35x = 199,147,933,564.24
  5. Step 5: Solve for x
    x = 199,147,933,564.24/511,536.35
  6. Step 6: Final answer
    x = 389,313.35

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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.