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Finding the Fourth Proportional to 327,117.79, 490,676.54 and 102,495.88

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Solution

The fourth proportional to 327,117.79, 490,676.54 and 102,495.88 is: 153,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,117.79 : 490,676.54 = 102,495.88 : x
  2. Step 2: Convert to fraction form
    327,117.79/490,676.54 = 102,495.88/x
  3. Step 3: Cross multiply
    327,117.79x = 490,676.54 × 102,495.88
  4. Step 4: Simplify right side
    327,117.79x = 50,292,323,863.52
  5. Step 5: Solve for x
    x = 50,292,323,863.52/327,117.79
  6. Step 6: Final answer
    x = 153,743.77

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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.