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Finding the Fourth Proportional to 449,782.20, 674,241.30 and 260,047.80

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Solution

The fourth proportional to 449,782.20, 674,241.30 and 260,047.80 is: 389,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,782.20 : 674,241.30 = 260,047.80 : x
  2. Step 2: Convert to fraction form
    449,782.20/674,241.30 = 260,047.80/x
  3. Step 3: Cross multiply
    449,782.20x = 674,241.30 × 260,047.80
  4. Step 4: Simplify right side
    449,782.20x = 175,334,966,734.14
  5. Step 5: Solve for x
    x = 175,334,966,734.14/449,782.20
  6. Step 6: Final answer
    x = 389,821.93

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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.