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Finding the Fourth Proportional to 323,199.60, 446,234.52 and 202,389.36

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Solution

The fourth proportional to 323,199.60, 446,234.52 and 202,389.36 is: 279,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,199.60 : 446,234.52 = 202,389.36 : x
  2. Step 2: Convert to fraction form
    323,199.60/446,234.52 = 202,389.36/x
  3. Step 3: Cross multiply
    323,199.60x = 446,234.52 × 202,389.36
  4. Step 4: Simplify right side
    323,199.60x = 90,313,118,912.71
  5. Step 5: Solve for x
    x = 90,313,118,912.71/323,199.60
  6. Step 6: Final answer
    x = 279,434.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.