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Finding the Fourth Proportional to 327,059.55, 490,575.33 and 102,415.01

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Solution

The fourth proportional to 327,059.55, 490,575.33 and 102,415.01 is: 153,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,059.55 : 490,575.33 = 102,415.01 : x
  2. Step 2: Convert to fraction form
    327,059.55/490,575.33 = 102,415.01/x
  3. Step 3: Cross multiply
    327,059.55x = 490,575.33 × 102,415.01
  4. Step 4: Simplify right side
    327,059.55x = 50,242,274,874.83
  5. Step 5: Solve for x
    x = 50,242,274,874.83/327,059.55
  6. Step 6: Final answer
    x = 153,618.13

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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.