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Finding the Fourth Proportional to 513,877.23, 770,815.98 and 158,883.39

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Solution

The fourth proportional to 513,877.23, 770,815.98 and 158,883.39 is: 238,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,877.23 : 770,815.98 = 158,883.39 : x
  2. Step 2: Convert to fraction form
    513,877.23/770,815.98 = 158,883.39/x
  3. Step 3: Cross multiply
    513,877.23x = 770,815.98 × 158,883.39
  4. Step 4: Simplify right side
    513,877.23x = 122,469,855,968.57
  5. Step 5: Solve for x
    x = 122,469,855,968.57/513,877.23
  6. Step 6: Final answer
    x = 238,325.13

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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.