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Finding the Fourth Proportional to 327,254.99, 490,888.56 and 102,610.40

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Solution

The fourth proportional to 327,254.99, 490,888.56 and 102,610.40 is: 153,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,254.99 : 490,888.56 = 102,610.40 : x
  2. Step 2: Convert to fraction form
    327,254.99/490,888.56 = 102,610.40/x
  3. Step 3: Cross multiply
    327,254.99x = 490,888.56 × 102,610.40
  4. Step 4: Simplify right side
    327,254.99x = 50,370,271,497.02
  5. Step 5: Solve for x
    x = 50,370,271,497.02/327,254.99
  6. Step 6: Final answer
    x = 153,917.50

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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.