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Finding the Fourth Proportional to 497,233.80, 746,433.90 and 493,734.60

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Solution

The fourth proportional to 497,233.80, 746,433.90 and 493,734.60 is: 741,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233.80 : 746,433.90 = 493,734.60 : x
  2. Step 2: Convert to fraction form
    497,233.80/746,433.90 = 493,734.60/x
  3. Step 3: Cross multiply
    497,233.80x = 746,433.90 × 493,734.60
  4. Step 4: Simplify right side
    497,233.80x = 368,540,243,042.94
  5. Step 5: Solve for x
    x = 368,540,243,042.94/497,233.80
  6. Step 6: Final answer
    x = 741,181.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.