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Finding the Fourth Proportional to 421,496.38, 632,576.94 and 185,002.30

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Solution

The fourth proportional to 421,496.38, 632,576.94 and 185,002.30 is: 277,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,496.38 : 632,576.94 = 185,002.30 : x
  2. Step 2: Convert to fraction form
    421,496.38/632,576.94 = 185,002.30/x
  3. Step 3: Cross multiply
    421,496.38x = 632,576.94 × 185,002.30
  4. Step 4: Simplify right side
    421,496.38x = 117,028,188,826.96
  5. Step 5: Solve for x
    x = 117,028,188,826.96/421,496.38
  6. Step 6: Final answer
    x = 277,649.33

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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.