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Finding the Fourth Proportional to 512,256.54, 706,910.20 and 282,813.78

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Solution

The fourth proportional to 512,256.54, 706,910.20 and 282,813.78 is: 390,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,256.54 : 706,910.20 = 282,813.78 : x
  2. Step 2: Convert to fraction form
    512,256.54/706,910.20 = 282,813.78/x
  3. Step 3: Cross multiply
    512,256.54x = 706,910.20 × 282,813.78
  4. Step 4: Simplify right side
    512,256.54x = 199,923,945,782.56
  5. Step 5: Solve for x
    x = 199,923,945,782.56/512,256.54
  6. Step 6: Final answer
    x = 390,280.90

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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.