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Finding the Fourth Proportional to 352,380, 486,122.94 and 209,058.60

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Solution

The fourth proportional to 352,380, 486,122.94 and 209,058.60 is: 288,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,380 : 486,122.94 = 209,058.60 : x
  2. Step 2: Convert to fraction form
    352,380/486,122.94 = 209,058.60/x
  3. Step 3: Cross multiply
    352,380x = 486,122.94 × 209,058.60
  4. Step 4: Simplify right side
    352,380x = 101,628,181,264.28
  5. Step 5: Solve for x
    x = 101,628,181,264.28/352,380
  6. Step 6: Final answer
    x = 288,405.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.