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Finding the Fourth Proportional to 327,362.45, 490,900.52 and 165,156.70

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Solution

The fourth proportional to 327,362.45, 490,900.52 and 165,156.70 is: 247,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,362.45 : 490,900.52 = 165,156.70 : x
  2. Step 2: Convert to fraction form
    327,362.45/490,900.52 = 165,156.70/x
  3. Step 3: Cross multiply
    327,362.45x = 490,900.52 × 165,156.70
  4. Step 4: Simplify right side
    327,362.45x = 81,075,506,631.20
  5. Step 5: Solve for x
    x = 81,075,506,631.20/327,362.45
  6. Step 6: Final answer
    x = 247,662.82

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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.