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Finding the Fourth Proportional to 327,304.98, 490,958.06 and 102,683.12

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Solution

The fourth proportional to 327,304.98, 490,958.06 and 102,683.12 is: 154,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,304.98 : 490,958.06 = 102,683.12 : x
  2. Step 2: Convert to fraction form
    327,304.98/490,958.06 = 102,683.12/x
  3. Step 3: Cross multiply
    327,304.98x = 490,958.06 × 102,683.12
  4. Step 4: Simplify right side
    327,304.98x = 50,413,102,421.74
  5. Step 5: Solve for x
    x = 50,413,102,421.74/327,304.98
  6. Step 6: Final answer
    x = 154,024.86

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1.5x scale

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.