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Finding the Fourth Proportional to 600,086.64, 828,133.97 and 341,958.06

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Solution

The fourth proportional to 600,086.64, 828,133.97 and 341,958.06 is: 471,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,086.64 : 828,133.97 = 341,958.06 : x
  2. Step 2: Convert to fraction form
    600,086.64/828,133.97 = 341,958.06/x
  3. Step 3: Cross multiply
    600,086.64x = 828,133.97 × 341,958.06
  4. Step 4: Simplify right side
    600,086.64x = 283,187,089,334.25
  5. Step 5: Solve for x
    x = 283,187,089,334.25/600,086.64
  6. Step 6: Final answer
    x = 471,910.34

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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.