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Finding the Fourth Proportional to 299,447.40, 448,652.70 and 194,212.20

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Solution

The fourth proportional to 299,447.40, 448,652.70 and 194,212.20 is: 290,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447.40 : 448,652.70 = 194,212.20 : x
  2. Step 2: Convert to fraction form
    299,447.40/448,652.70 = 194,212.20/x
  3. Step 3: Cross multiply
    299,447.40x = 448,652.70 × 194,212.20
  4. Step 4: Simplify right side
    299,447.40x = 87,133,827,902.94
  5. Step 5: Solve for x
    x = 87,133,827,902.94/299,447.40
  6. Step 6: Final answer
    x = 290,982.08

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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.