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Finding the Fourth Proportional to 389,393.37, 584,087.40 and 209,563.41

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Solution

The fourth proportional to 389,393.37, 584,087.40 and 209,563.41 is: 314,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,393.37 : 584,087.40 = 209,563.41 : x
  2. Step 2: Convert to fraction form
    389,393.37/584,087.40 = 209,563.41/x
  3. Step 3: Cross multiply
    389,393.37x = 584,087.40 × 209,563.41
  4. Step 4: Simplify right side
    389,393.37x = 122,403,347,282.03
  5. Step 5: Solve for x
    x = 122,403,347,282.03/389,393.37
  6. Step 6: Final answer
    x = 314,343.69

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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.