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Finding the Fourth Proportional to 293,564.88, 440,208.54 and 113,734.56

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Solution

The fourth proportional to 293,564.88, 440,208.54 and 113,734.56 is: 170,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,564.88 : 440,208.54 = 113,734.56 : x
  2. Step 2: Convert to fraction form
    293,564.88/440,208.54 = 113,734.56/x
  3. Step 3: Cross multiply
    293,564.88x = 440,208.54 × 113,734.56
  4. Step 4: Simplify right side
    293,564.88x = 50,066,924,605.14
  5. Step 5: Solve for x
    x = 50,066,924,605.14/293,564.88
  6. Step 6: Final answer
    x = 170,548.07

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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.