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Finding the Fourth Proportional to 338,793.80, 507,513.16 and 203,783.30

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Solution

The fourth proportional to 338,793.80, 507,513.16 and 203,783.30 is: 305,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,793.80 : 507,513.16 = 203,783.30 : x
  2. Step 2: Convert to fraction form
    338,793.80/507,513.16 = 203,783.30/x
  3. Step 3: Cross multiply
    338,793.80x = 507,513.16 × 203,783.30
  4. Step 4: Simplify right side
    338,793.80x = 103,422,707,297.55
  5. Step 5: Solve for x
    x = 103,422,707,297.55/338,793.80
  6. Step 6: Final answer
    x = 305,267.42

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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.