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Finding the Fourth Proportional to 407,236.50, 610,942.47 and 122,903.25

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Solution

The fourth proportional to 407,236.50, 610,942.47 and 122,903.25 is: 184,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,236.50 : 610,942.47 = 122,903.25 : x
  2. Step 2: Convert to fraction form
    407,236.50/610,942.47 = 122,903.25/x
  3. Step 3: Cross multiply
    407,236.50x = 610,942.47 × 122,903.25
  4. Step 4: Simplify right side
    407,236.50x = 75,086,815,126.03
  5. Step 5: Solve for x
    x = 75,086,815,126.03/407,236.50
  6. Step 6: Final answer
    x = 184,381.35

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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.