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Finding the Fourth Proportional to 600,020.36, 828,056.82 and 331,765.64

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Solution

The fourth proportional to 600,020.36, 828,056.82 and 331,765.64 is: 457,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,020.36 : 828,056.82 = 331,765.64 : x
  2. Step 2: Convert to fraction form
    600,020.36/828,056.82 = 331,765.64/x
  3. Step 3: Cross multiply
    600,020.36x = 828,056.82 × 331,765.64
  4. Step 4: Simplify right side
    600,020.36x = 274,720,800,843.67
  5. Step 5: Solve for x
    x = 274,720,800,843.67/600,020.36
  6. Step 6: Final answer
    x = 457,852.46

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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.