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Finding the Fourth Proportional to 449,488.16, 674,227.61 and 259,827.84

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Solution

The fourth proportional to 449,488.16, 674,227.61 and 259,827.84 is: 389,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,488.16 : 674,227.61 = 259,827.84 : x
  2. Step 2: Convert to fraction form
    449,488.16/674,227.61 = 259,827.84/x
  3. Step 3: Cross multiply
    449,488.16x = 674,227.61 × 259,827.84
  4. Step 4: Simplify right side
    449,488.16x = 175,183,104,637.40
  5. Step 5: Solve for x
    x = 175,183,104,637.40/449,488.16
  6. Step 6: Final answer
    x = 389,739.09

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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.