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Finding the Fourth Proportional to 422,576.88, 633,905.64 and 118,970.16

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Solution

The fourth proportional to 422,576.88, 633,905.64 and 118,970.16 is: 178,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,576.88 : 633,905.64 = 118,970.16 : x
  2. Step 2: Convert to fraction form
    422,576.88/633,905.64 = 118,970.16/x
  3. Step 3: Cross multiply
    422,576.88x = 633,905.64 × 118,970.16
  4. Step 4: Simplify right side
    422,576.88x = 75,415,855,415.70
  5. Step 5: Solve for x
    x = 75,415,855,415.70/422,576.88
  6. Step 6: Final answer
    x = 178,466.59

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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.