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Finding the Fourth Proportional to 493,286.40, 739,929.60 and 343,987.20

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Solution

The fourth proportional to 493,286.40, 739,929.60 and 343,987.20 is: 515,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,286.40 : 739,929.60 = 343,987.20 : x
  2. Step 2: Convert to fraction form
    493,286.40/739,929.60 = 343,987.20/x
  3. Step 3: Cross multiply
    493,286.40x = 739,929.60 × 343,987.20
  4. Step 4: Simplify right side
    493,286.40x = 254,526,311,301.12
  5. Step 5: Solve for x
    x = 254,526,311,301.12/493,286.40
  6. Step 6: Final answer
    x = 515,980.80

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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.