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Finding the Fourth Proportional to 508,514.25, 701,749.67 and 282,196.17

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Solution

The fourth proportional to 508,514.25, 701,749.67 and 282,196.17 is: 389,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,514.25 : 701,749.67 = 282,196.17 : x
  2. Step 2: Convert to fraction form
    508,514.25/701,749.67 = 282,196.17/x
  3. Step 3: Cross multiply
    508,514.25x = 701,749.67 × 282,196.17
  4. Step 4: Simplify right side
    508,514.25x = 198,031,067,761.78
  5. Step 5: Solve for x
    x = 198,031,067,761.78/508,514.25
  6. Step 6: Final answer
    x = 389,430.71

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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.