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Finding the Fourth Proportional to 345,991.94, 477,458.06 and 202,847.33

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Solution

The fourth proportional to 345,991.94, 477,458.06 and 202,847.33 is: 279,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,991.94 : 477,458.06 = 202,847.33 : x
  2. Step 2: Convert to fraction form
    345,991.94/477,458.06 = 202,847.33/x
  3. Step 3: Cross multiply
    345,991.94x = 477,458.06 × 202,847.33
  4. Step 4: Simplify right side
    345,991.94x = 96,851,089,256.45
  5. Step 5: Solve for x
    x = 96,851,089,256.45/345,991.94
  6. Step 6: Final answer
    x = 279,922.96

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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.