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Finding the Fourth Proportional to 565,837.64, 782,912.10 and 493,391.60

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Solution

The fourth proportional to 565,837.64, 782,912.10 and 493,391.60 is: 682,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,837.64 : 782,912.10 = 493,391.60 : x
  2. Step 2: Convert to fraction form
    565,837.64/782,912.10 = 493,391.60/x
  3. Step 3: Cross multiply
    565,837.64x = 782,912.10 × 493,391.60
  4. Step 4: Simplify right side
    565,837.64x = 386,282,254,549.94
  5. Step 5: Solve for x
    x = 386,282,254,549.94/565,837.64
  6. Step 6: Final answer
    x = 682,673.31

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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.