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Finding the Fourth Proportional to 465,099.64, 641,798.10 and 261,134.55

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Solution

The fourth proportional to 465,099.64, 641,798.10 and 261,134.55 is: 360,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,099.64 : 641,798.10 = 261,134.55 : x
  2. Step 2: Convert to fraction form
    465,099.64/641,798.10 = 261,134.55/x
  3. Step 3: Cross multiply
    465,099.64x = 641,798.10 × 261,134.55
  4. Step 4: Simplify right side
    465,099.64x = 167,595,658,034.36
  5. Step 5: Solve for x
    x = 167,595,658,034.36/465,099.64
  6. Step 6: Final answer
    x = 360,343.56

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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.