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Finding the Fourth Proportional to 497,537.40, 746,613.90 and 261,049.80

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Solution

The fourth proportional to 497,537.40, 746,613.90 and 261,049.80 is: 391,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,537.40 : 746,613.90 = 261,049.80 : x
  2. Step 2: Convert to fraction form
    497,537.40/746,613.90 = 261,049.80/x
  3. Step 3: Cross multiply
    497,537.40x = 746,613.90 × 261,049.80
  4. Step 4: Simplify right side
    497,537.40x = 194,903,409,272.22
  5. Step 5: Solve for x
    x = 194,903,409,272.22/497,537.40
  6. Step 6: Final answer
    x = 391,736.20

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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.