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Finding the Fourth Proportional to 512,219.11, 706,843.82 and 282,771.47

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Solution

The fourth proportional to 512,219.11, 706,843.82 and 282,771.47 is: 390,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,219.11 : 706,843.82 = 282,771.47 : x
  2. Step 2: Convert to fraction form
    512,219.11/706,843.82 = 282,771.47/x
  3. Step 3: Cross multiply
    512,219.11x = 706,843.82 × 282,771.47
  4. Step 4: Simplify right side
    512,219.11x = 199,875,264,627.96
  5. Step 5: Solve for x
    x = 199,875,264,627.96/512,219.11
  6. Step 6: Final answer
    x = 390,214.39

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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.