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Finding the Fourth Proportional to 299,427.40, 449,141.10 and 193,139.20

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Solution

The fourth proportional to 299,427.40, 449,141.10 and 193,139.20 is: 289,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,427.40 : 449,141.10 = 193,139.20 : x
  2. Step 2: Convert to fraction form
    299,427.40/449,141.10 = 193,139.20/x
  3. Step 3: Cross multiply
    299,427.40x = 449,141.10 × 193,139.20
  4. Step 4: Simplify right side
    299,427.40x = 86,746,752,741.12
  5. Step 5: Solve for x
    x = 86,746,752,741.12/299,427.40
  6. Step 6: Final answer
    x = 289,708.80

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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.