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Finding the Fourth Proportional to 396,002.40, 594,003.60 and 312,021.60

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Solution

The fourth proportional to 396,002.40, 594,003.60 and 312,021.60 is: 468,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,002.40 : 594,003.60 = 312,021.60 : x
  2. Step 2: Convert to fraction form
    396,002.40/594,003.60 = 312,021.60/x
  3. Step 3: Cross multiply
    396,002.40x = 594,003.60 × 312,021.60
  4. Step 4: Simplify right side
    396,002.40x = 185,341,953,677.76
  5. Step 5: Solve for x
    x = 185,341,953,677.76/396,002.40
  6. Step 6: Final answer
    x = 468,032.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.