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Finding the Fourth Proportional to 513,906.76, 770,417.16 and 198,584.92

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Solution

The fourth proportional to 513,906.76, 770,417.16 and 198,584.92 is: 297,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,906.76 : 770,417.16 = 198,584.92 : x
  2. Step 2: Convert to fraction form
    513,906.76/770,417.16 = 198,584.92/x
  3. Step 3: Cross multiply
    513,906.76x = 770,417.16 × 198,584.92
  4. Step 4: Simplify right side
    513,906.76x = 152,993,230,085.23
  5. Step 5: Solve for x
    x = 152,993,230,085.23/513,906.76
  6. Step 6: Final answer
    x = 297,706.20

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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.