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Finding the Fourth Proportional to 565,839.32, 782,914.43 and 493,393.28

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Solution

The fourth proportional to 565,839.32, 782,914.43 and 493,393.28 is: 682,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,839.32 : 782,914.43 = 493,393.28 : x
  2. Step 2: Convert to fraction form
    565,839.32/782,914.43 = 493,393.28/x
  3. Step 3: Cross multiply
    565,839.32x = 782,914.43 × 493,393.28
  4. Step 4: Simplify right side
    565,839.32x = 386,284,715,895.94
  5. Step 5: Solve for x
    x = 386,284,715,895.94/565,839.32
  6. Step 6: Final answer
    x = 682,675.64

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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.