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Finding the Fourth Proportional to 495,212.43, 684,034.21 and 409,517.56

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Solution

The fourth proportional to 495,212.43, 684,034.21 and 409,517.56 is: 565,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,212.43 : 684,034.21 = 409,517.56 : x
  2. Step 2: Convert to fraction form
    495,212.43/684,034.21 = 409,517.56/x
  3. Step 3: Cross multiply
    495,212.43x = 684,034.21 × 409,517.56
  4. Step 4: Simplify right side
    495,212.43x = 280,124,020,635.73
  5. Step 5: Solve for x
    x = 280,124,020,635.73/495,212.43
  6. Step 6: Final answer
    x = 565,664.36

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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.