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Finding the Fourth Proportional to 326,057.60, 489,086.40 and 219,769.40

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Solution

The fourth proportional to 326,057.60, 489,086.40 and 219,769.40 is: 329,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,057.60 : 489,086.40 = 219,769.40 : x
  2. Step 2: Convert to fraction form
    326,057.60/489,086.40 = 219,769.40/x
  3. Step 3: Cross multiply
    326,057.60x = 489,086.40 × 219,769.40
  4. Step 4: Simplify right side
    326,057.60x = 107,486,224,676.16
  5. Step 5: Solve for x
    x = 107,486,224,676.16/326,057.60
  6. Step 6: Final answer
    x = 329,654.10

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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.