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Finding the Fourth Proportional to 299,042.70, 448,564.05 and 188,450.70

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Solution

The fourth proportional to 299,042.70, 448,564.05 and 188,450.70 is: 282,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,042.70 : 448,564.05 = 188,450.70 : x
  2. Step 2: Convert to fraction form
    299,042.70/448,564.05 = 188,450.70/x
  3. Step 3: Cross multiply
    299,042.70x = 448,564.05 × 188,450.70
  4. Step 4: Simplify right side
    299,042.70x = 84,532,209,217.34
  5. Step 5: Solve for x
    x = 84,532,209,217.34/299,042.70
  6. Step 6: Final answer
    x = 282,676.05

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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.