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Finding the Fourth Proportional to 422,039.92, 633,122.46 and 122,522.98

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Solution

The fourth proportional to 422,039.92, 633,122.46 and 122,522.98 is: 183,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,039.92 : 633,122.46 = 122,522.98 : x
  2. Step 2: Convert to fraction form
    422,039.92/633,122.46 = 122,522.98/x
  3. Step 3: Cross multiply
    422,039.92x = 633,122.46 × 122,522.98
  4. Step 4: Simplify right side
    422,039.92x = 77,572,050,504.13
  5. Step 5: Solve for x
    x = 77,572,050,504.13/422,039.92
  6. Step 6: Final answer
    x = 183,802.64

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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.