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Finding the Fourth Proportional to 279,945.40, 419,918.10 and 264,782.20

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Solution

The fourth proportional to 279,945.40, 419,918.10 and 264,782.20 is: 397,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,945.40 : 419,918.10 = 264,782.20 : x
  2. Step 2: Convert to fraction form
    279,945.40/419,918.10 = 264,782.20/x
  3. Step 3: Cross multiply
    279,945.40x = 419,918.10 × 264,782.20
  4. Step 4: Simplify right side
    279,945.40x = 111,186,838,337.82
  5. Step 5: Solve for x
    x = 111,186,838,337.82/279,945.40
  6. Step 6: Final answer
    x = 397,173.30

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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.