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Finding the Fourth Proportional to 513,874.40, 770,811.60 and 513,874.40

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Solution

The fourth proportional to 513,874.40, 770,811.60 and 513,874.40 is: 770,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,874.40 : 770,811.60 = 513,874.40 : x
  2. Step 2: Convert to fraction form
    513,874.40/770,811.60 = 513,874.40/x
  3. Step 3: Cross multiply
    513,874.40x = 770,811.60 × 513,874.40
  4. Step 4: Simplify right side
    513,874.40x = 396,100,348,463.04
  5. Step 5: Solve for x
    x = 396,100,348,463.04/513,874.40
  6. Step 6: Final answer
    x = 770,811.60

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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.