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Finding the Fourth Proportional to 513,822.20, 770,733.30 and 513,822.20

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Solution

The fourth proportional to 513,822.20, 770,733.30 and 513,822.20 is: 770,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,822.20 : 770,733.30 = 513,822.20 : x
  2. Step 2: Convert to fraction form
    513,822.20/770,733.30 = 513,822.20/x
  3. Step 3: Cross multiply
    513,822.20x = 770,733.30 × 513,822.20
  4. Step 4: Simplify right side
    513,822.20x = 396,019,879,819.26
  5. Step 5: Solve for x
    x = 396,019,879,819.26/513,822.20
  6. Step 6: Final answer
    x = 770,733.30

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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.