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Finding the Fourth Proportional to 613,188, 919,905 and 213,721.50

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Solution

The fourth proportional to 613,188, 919,905 and 213,721.50 is: 320,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,188 : 919,905 = 213,721.50 : x
  2. Step 2: Convert to fraction form
    613,188/919,905 = 213,721.50/x
  3. Step 3: Cross multiply
    613,188x = 919,905 × 213,721.50
  4. Step 4: Simplify right side
    613,188x = 196,603,476,457.50
  5. Step 5: Solve for x
    x = 196,603,476,457.50/613,188
  6. Step 6: Final answer
    x = 320,625.12

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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.