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Finding the Fourth Proportional to 493,144.40, 739,284.60 and 334,859.60

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Solution

The fourth proportional to 493,144.40, 739,284.60 and 334,859.60 is: 501,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,144.40 : 739,284.60 = 334,859.60 : x
  2. Step 2: Convert to fraction form
    493,144.40/739,284.60 = 334,859.60/x
  3. Step 3: Cross multiply
    493,144.40x = 739,284.60 × 334,859.60
  4. Step 4: Simplify right side
    493,144.40x = 247,556,545,442.16
  5. Step 5: Solve for x
    x = 247,556,545,442.16/493,144.40
  6. Step 6: Final answer
    x = 501,996.06

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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.