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Finding the Fourth Proportional to 512,878.23, 707,786.10 and 283,450.39

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Solution

The fourth proportional to 512,878.23, 707,786.10 and 283,450.39 is: 391,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,878.23 : 707,786.10 = 283,450.39 : x
  2. Step 2: Convert to fraction form
    512,878.23/707,786.10 = 283,450.39/x
  3. Step 3: Cross multiply
    512,878.23x = 707,786.10 × 283,450.39
  4. Step 4: Simplify right side
    512,878.23x = 200,622,244,312.11
  5. Step 5: Solve for x
    x = 200,622,244,312.11/512,878.23
  6. Step 6: Final answer
    x = 391,169.35

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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.