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Finding the Fourth Proportional to 652,285.16, 980,294 and 320,094.44

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Solution

The fourth proportional to 652,285.16, 980,294 and 320,094.44 is: 481,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,285.16 : 980,294 = 320,094.44 : x
  2. Step 2: Convert to fraction form
    652,285.16/980,294 = 320,094.44/x
  3. Step 3: Cross multiply
    652,285.16x = 980,294 × 320,094.44
  4. Step 4: Simplify right side
    652,285.16x = 313,786,658,965.36
  5. Step 5: Solve for x
    x = 313,786,658,965.36/652,285.16
  6. Step 6: Final answer
    x = 481,057.49

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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.