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Finding the Fourth Proportional to 512,197.48, 706,833.57 and 282,755.07

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Solution

The fourth proportional to 512,197.48, 706,833.57 and 282,755.07 is: 390,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,197.48 : 706,833.57 = 282,755.07 : x
  2. Step 2: Convert to fraction form
    512,197.48/706,833.57 = 282,755.07/x
  3. Step 3: Cross multiply
    512,197.48x = 706,833.57 × 282,755.07
  4. Step 4: Simplify right side
    512,197.48x = 199,860,775,563.70
  5. Step 5: Solve for x
    x = 199,860,775,563.70/512,197.48
  6. Step 6: Final answer
    x = 390,202.57

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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.