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Finding the Fourth Proportional to 421,564.50, 632,379.68 and 122,049.54

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Solution

The fourth proportional to 421,564.50, 632,379.68 and 122,049.54 is: 183,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,564.50 : 632,379.68 = 122,049.54 : x
  2. Step 2: Convert to fraction form
    421,564.50/632,379.68 = 122,049.54/x
  3. Step 3: Cross multiply
    421,564.50x = 632,379.68 × 122,049.54
  4. Step 4: Simplify right side
    421,564.50x = 77,181,646,192.57
  5. Step 5: Solve for x
    x = 77,181,646,192.57/421,564.50
  6. Step 6: Final answer
    x = 183,083.84

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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.