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Finding the Fourth Proportional to 652,283.16, 980,291 and 320,092.44

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Solution

The fourth proportional to 652,283.16, 980,291 and 320,092.44 is: 481,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,283.16 : 980,291 = 320,092.44 : x
  2. Step 2: Convert to fraction form
    652,283.16/980,291 = 320,092.44/x
  3. Step 3: Cross multiply
    652,283.16x = 980,291 × 320,092.44
  4. Step 4: Simplify right side
    652,283.16x = 313,783,738,100.04
  5. Step 5: Solve for x
    x = 313,783,738,100.04/652,283.16
  6. Step 6: Final answer
    x = 481,054.48

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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.