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Finding the Fourth Proportional to 396,031.60, 594,047.40 and 326,047.60

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Solution

The fourth proportional to 396,031.60, 594,047.40 and 326,047.60 is: 489,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,031.60 : 594,047.40 = 326,047.60 : x
  2. Step 2: Convert to fraction form
    396,031.60/594,047.40 = 326,047.60/x
  3. Step 3: Cross multiply
    396,031.60x = 594,047.40 × 326,047.60
  4. Step 4: Simplify right side
    396,031.60x = 193,687,729,056.24
  5. Step 5: Solve for x
    x = 193,687,729,056.24/396,031.60
  6. Step 6: Final answer
    x = 489,071.40

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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.