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Finding the Fourth Proportional to 354,321.21, 531,201.15 and 176,736.81

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Solution

The fourth proportional to 354,321.21, 531,201.15 and 176,736.81 is: 264,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,321.21 : 531,201.15 = 176,736.81 : x
  2. Step 2: Convert to fraction form
    354,321.21/531,201.15 = 176,736.81/x
  3. Step 3: Cross multiply
    354,321.21x = 531,201.15 × 176,736.81
  4. Step 4: Simplify right side
    354,321.21x = 93,882,796,719.33
  5. Step 5: Solve for x
    x = 93,882,796,719.33/354,321.21
  6. Step 6: Final answer
    x = 264,965.22

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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.