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Finding the Fourth Proportional to 288,441.80, 397,487.34 and 207,716.80

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Solution

The fourth proportional to 288,441.80, 397,487.34 and 207,716.80 is: 286,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,441.80 : 397,487.34 = 207,716.80 : x
  2. Step 2: Convert to fraction form
    288,441.80/397,487.34 = 207,716.80/x
  3. Step 3: Cross multiply
    288,441.80x = 397,487.34 × 207,716.80
  4. Step 4: Simplify right side
    288,441.80x = 82,564,798,305.31
  5. Step 5: Solve for x
    x = 82,564,798,305.31/288,441.80
  6. Step 6: Final answer
    x = 286,244.22

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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.