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Finding the Fourth Proportional to 331,055.34, 456,795.34 and 201,964.02

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Solution

The fourth proportional to 331,055.34, 456,795.34 and 201,964.02 is: 278,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,055.34 : 456,795.34 = 201,964.02 : x
  2. Step 2: Convert to fraction form
    331,055.34/456,795.34 = 201,964.02/x
  3. Step 3: Cross multiply
    331,055.34x = 456,795.34 × 201,964.02
  4. Step 4: Simplify right side
    331,055.34x = 92,256,223,183.67
  5. Step 5: Solve for x
    x = 92,256,223,183.67/331,055.34
  6. Step 6: Final answer
    x = 278,673.12

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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.