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Finding the Fourth Proportional to 264,942.51, 397,413.87 and 65,266.79

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Solution

The fourth proportional to 264,942.51, 397,413.87 and 65,266.79 is: 97,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,942.51 : 397,413.87 = 65,266.79 : x
  2. Step 2: Convert to fraction form
    264,942.51/397,413.87 = 65,266.79/x
  3. Step 3: Cross multiply
    264,942.51x = 397,413.87 × 65,266.79
  4. Step 4: Simplify right side
    264,942.51x = 25,937,925,609.31
  5. Step 5: Solve for x
    x = 25,937,925,609.31/264,942.51
  6. Step 6: Final answer
    x = 97,900.20

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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.