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Finding the Fourth Proportional to 275,137.20, 412,705.80 and 212,929.20

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Solution

The fourth proportional to 275,137.20, 412,705.80 and 212,929.20 is: 319,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,137.20 : 412,705.80 = 212,929.20 : x
  2. Step 2: Convert to fraction form
    275,137.20/412,705.80 = 212,929.20/x
  3. Step 3: Cross multiply
    275,137.20x = 412,705.80 × 212,929.20
  4. Step 4: Simplify right side
    275,137.20x = 87,877,115,829.36
  5. Step 5: Solve for x
    x = 87,877,115,829.36/275,137.20
  6. Step 6: Final answer
    x = 319,393.80

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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.