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Finding the Fourth Proportional to 863,163.16, 1,294,690.74 and 264,076.90

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Solution

The fourth proportional to 863,163.16, 1,294,690.74 and 264,076.90 is: 396,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,163.16 : 1,294,690.74 = 264,076.90 : x
  2. Step 2: Convert to fraction form
    863,163.16/1,294,690.74 = 264,076.90/x
  3. Step 3: Cross multiply
    863,163.16x = 1,294,690.74 × 264,076.90
  4. Step 4: Simplify right side
    863,163.16x = 341,897,917,077.91
  5. Step 5: Solve for x
    x = 341,897,917,077.91/863,163.16
  6. Step 6: Final answer
    x = 396,098.83

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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.