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Finding the Fourth Proportional to 339,270.40, 508,905.60 and 277,830.40

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Solution

The fourth proportional to 339,270.40, 508,905.60 and 277,830.40 is: 416,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,270.40 : 508,905.60 = 277,830.40 : x
  2. Step 2: Convert to fraction form
    339,270.40/508,905.60 = 277,830.40/x
  3. Step 3: Cross multiply
    339,270.40x = 508,905.60 × 277,830.40
  4. Step 4: Simplify right side
    339,270.40x = 141,389,446,410.24
  5. Step 5: Solve for x
    x = 141,389,446,410.24/339,270.40
  6. Step 6: Final answer
    x = 416,745.60

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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.