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Finding the Fourth Proportional to 340,576.26, 470,009.82 and 189,673.26

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Solution

The fourth proportional to 340,576.26, 470,009.82 and 189,673.26 is: 261,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,576.26 : 470,009.82 = 189,673.26 : x
  2. Step 2: Convert to fraction form
    340,576.26/470,009.82 = 189,673.26/x
  3. Step 3: Cross multiply
    340,576.26x = 470,009.82 × 189,673.26
  4. Step 4: Simplify right side
    340,576.26x = 89,148,294,791.41
  5. Step 5: Solve for x
    x = 89,148,294,791.41/340,576.26
  6. Step 6: Final answer
    x = 261,757.22

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1.5x scale

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.