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Finding the Fourth Proportional to 299,311.80, 449,030.10 and 99,694.20

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Solution

The fourth proportional to 299,311.80, 449,030.10 and 99,694.20 is: 149,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.80 : 449,030.10 = 99,694.20 : x
  2. Step 2: Convert to fraction form
    299,311.80/449,030.10 = 99,694.20/x
  3. Step 3: Cross multiply
    299,311.80x = 449,030.10 × 99,694.20
  4. Step 4: Simplify right side
    299,311.80x = 44,765,696,595.42
  5. Step 5: Solve for x
    x = 44,765,696,595.42/299,311.80
  6. Step 6: Final answer
    x = 149,562.08

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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.