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Finding the Fourth Proportional to 304,843.20, 456,608.70 and 252,355.20

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Solution

The fourth proportional to 304,843.20, 456,608.70 and 252,355.20 is: 377,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,843.20 : 456,608.70 = 252,355.20 : x
  2. Step 2: Convert to fraction form
    304,843.20/456,608.70 = 252,355.20/x
  3. Step 3: Cross multiply
    304,843.20x = 456,608.70 × 252,355.20
  4. Step 4: Simplify right side
    304,843.20x = 115,227,579,810.24
  5. Step 5: Solve for x
    x = 115,227,579,810.24/304,843.20
  6. Step 6: Final answer
    x = 377,989.67

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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.