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Finding the Fourth Proportional to 326,305.42, 489,938.60 and 182,493.00

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Solution

The fourth proportional to 326,305.42, 489,938.60 and 182,493.00 is: 274,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,305.42 : 489,938.60 = 182,493.00 : x
  2. Step 2: Convert to fraction form
    326,305.42/489,938.60 = 182,493.00/x
  3. Step 3: Cross multiply
    326,305.42x = 489,938.60 × 182,493.00
  4. Step 4: Simplify right side
    326,305.42x = 89,410,361,567.64
  5. Step 5: Solve for x
    x = 89,410,361,567.64/326,305.42
  6. Step 6: Final answer
    x = 274,008.21

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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.