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Finding the Fourth Proportional to 307,569.44, 461,132.68 and 188,995.78

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Solution

The fourth proportional to 307,569.44, 461,132.68 and 188,995.78 is: 283,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,569.44 : 461,132.68 = 188,995.78 : x
  2. Step 2: Convert to fraction form
    307,569.44/461,132.68 = 188,995.78/x
  3. Step 3: Cross multiply
    307,569.44x = 461,132.68 × 188,995.78
  4. Step 4: Simplify right side
    307,569.44x = 87,152,130,540.09
  5. Step 5: Solve for x
    x = 87,152,130,540.09/307,569.44
  6. Step 6: Final answer
    x = 283,357.57

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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.