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Finding the Fourth Proportional to 492,513.79, 679,639.74 and 285,766.22

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Solution

The fourth proportional to 492,513.79, 679,639.74 and 285,766.22 is: 394,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,513.79 : 679,639.74 = 285,766.22 : x
  2. Step 2: Convert to fraction form
    492,513.79/679,639.74 = 285,766.22/x
  3. Step 3: Cross multiply
    492,513.79x = 679,639.74 × 285,766.22
  4. Step 4: Simplify right side
    492,513.79x = 194,218,079,461.58
  5. Step 5: Solve for x
    x = 194,218,079,461.58/492,513.79
  6. Step 6: Final answer
    x = 394,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.