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Finding the Fourth Proportional to 513,823.20, 770,734.80 and 513,823.20

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Solution

The fourth proportional to 513,823.20, 770,734.80 and 513,823.20 is: 770,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,823.20 : 770,734.80 = 513,823.20 : x
  2. Step 2: Convert to fraction form
    513,823.20/770,734.80 = 513,823.20/x
  3. Step 3: Cross multiply
    513,823.20x = 770,734.80 × 513,823.20
  4. Step 4: Simplify right side
    513,823.20x = 396,021,421,287.36
  5. Step 5: Solve for x
    x = 396,021,421,287.36/513,823.20
  6. Step 6: Final answer
    x = 770,734.80

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