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Finding the Fourth Proportional to 327,014, 490,256.22 and 102,258.68

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Solution

The fourth proportional to 327,014, 490,256.22 and 102,258.68 is: 153,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,014 : 490,256.22 = 102,258.68 : x
  2. Step 2: Convert to fraction form
    327,014/490,256.22 = 102,258.68/x
  3. Step 3: Cross multiply
    327,014x = 490,256.22 × 102,258.68
  4. Step 4: Simplify right side
    327,014x = 50,132,953,918.99
  5. Step 5: Solve for x
    x = 50,132,953,918.99/327,014
  6. Step 6: Final answer
    x = 153,305.22

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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.