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Finding the Fourth Proportional to 260,809.64, 359,892.42 and 207,224.36

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Solution

The fourth proportional to 260,809.64, 359,892.42 and 207,224.36 is: 285,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,809.64 : 359,892.42 = 207,224.36 : x
  2. Step 2: Convert to fraction form
    260,809.64/359,892.42 = 207,224.36/x
  3. Step 3: Cross multiply
    260,809.64x = 359,892.42 × 207,224.36
  4. Step 4: Simplify right side
    260,809.64x = 74,578,476,403.35
  5. Step 5: Solve for x
    x = 74,578,476,403.35/260,809.64
  6. Step 6: Final answer
    x = 285,949.85

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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.