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Finding the Fourth Proportional to 293,430, 405,181.44 and 186,190.32

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Solution

The fourth proportional to 293,430, 405,181.44 and 186,190.32 is: 257,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,430 : 405,181.44 = 186,190.32 : x
  2. Step 2: Convert to fraction form
    293,430/405,181.44 = 186,190.32/x
  3. Step 3: Cross multiply
    293,430x = 405,181.44 × 186,190.32
  4. Step 4: Simplify right side
    293,430x = 75,440,861,971.66
  5. Step 5: Solve for x
    x = 75,440,861,971.66/293,430
  6. Step 6: Final answer
    x = 257,100.03

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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.