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Finding the Fourth Proportional to 510,336.34, 765,506.58 and 206,736.24

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Solution

The fourth proportional to 510,336.34, 765,506.58 and 206,736.24 is: 310,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,336.34 : 765,506.58 = 206,736.24 : x
  2. Step 2: Convert to fraction form
    510,336.34/765,506.58 = 206,736.24/x
  3. Step 3: Cross multiply
    510,336.34x = 765,506.58 × 206,736.24
  4. Step 4: Simplify right side
    510,336.34x = 158,257,952,044.46
  5. Step 5: Solve for x
    x = 158,257,952,044.46/510,336.34
  6. Step 6: Final answer
    x = 310,105.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.