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Finding the Fourth Proportional to 379,515.93, 523,731.07 and 216,172.40

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Solution

The fourth proportional to 379,515.93, 523,731.07 and 216,172.40 is: 298,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,515.93 : 523,731.07 = 216,172.40 : x
  2. Step 2: Convert to fraction form
    379,515.93/523,731.07 = 216,172.40/x
  3. Step 3: Cross multiply
    379,515.93x = 523,731.07 × 216,172.40
  4. Step 4: Simplify right side
    379,515.93x = 113,216,198,792.06
  5. Step 5: Solve for x
    x = 113,216,198,792.06/379,515.93
  6. Step 6: Final answer
    x = 298,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.