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Finding the Fourth Proportional to 497,321.40, 745,982.10 and 260,736.60

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Solution

The fourth proportional to 497,321.40, 745,982.10 and 260,736.60 is: 391,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,321.40 : 745,982.10 = 260,736.60 : x
  2. Step 2: Convert to fraction form
    497,321.40/745,982.10 = 260,736.60/x
  3. Step 3: Cross multiply
    497,321.40x = 745,982.10 × 260,736.60
  4. Step 4: Simplify right side
    497,321.40x = 194,504,836,414.86
  5. Step 5: Solve for x
    x = 194,504,836,414.86/497,321.40
  6. Step 6: Final answer
    x = 391,104.90

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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.