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Finding the Fourth Proportional to 432,863.60, 649,295.40 and 313,977.20

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Solution

The fourth proportional to 432,863.60, 649,295.40 and 313,977.20 is: 470,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,863.60 : 649,295.40 = 313,977.20 : x
  2. Step 2: Convert to fraction form
    432,863.60/649,295.40 = 313,977.20/x
  3. Step 3: Cross multiply
    432,863.60x = 649,295.40 × 313,977.20
  4. Step 4: Simplify right side
    432,863.60x = 203,863,951,664.88
  5. Step 5: Solve for x
    x = 203,863,951,664.88/432,863.60
  6. Step 6: Final answer
    x = 470,965.80

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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.