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Finding the Fourth Proportional to 396,200.10, 594,300.15 and 361,985.70

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Solution

The fourth proportional to 396,200.10, 594,300.15 and 361,985.70 is: 542,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,200.10 : 594,300.15 = 361,985.70 : x
  2. Step 2: Convert to fraction form
    396,200.10/594,300.15 = 361,985.70/x
  3. Step 3: Cross multiply
    396,200.10x = 594,300.15 × 361,985.70
  4. Step 4: Simplify right side
    396,200.10x = 215,128,155,807.86
  5. Step 5: Solve for x
    x = 215,128,155,807.86/396,200.10
  6. Step 6: Final answer
    x = 542,978.55

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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.