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Finding the Fourth Proportional to 275,042.40, 412,563.60 and 205,058.40

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Solution

The fourth proportional to 275,042.40, 412,563.60 and 205,058.40 is: 307,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,042.40 : 412,563.60 = 205,058.40 : x
  2. Step 2: Convert to fraction form
    275,042.40/412,563.60 = 205,058.40/x
  3. Step 3: Cross multiply
    275,042.40x = 412,563.60 × 205,058.40
  4. Step 4: Simplify right side
    275,042.40x = 84,599,631,714.24
  5. Step 5: Solve for x
    x = 84,599,631,714.24/275,042.40
  6. Step 6: Final answer
    x = 307,587.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.