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Finding the Fourth Proportional to 308,365.36, 425,615.32 and 200,748

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Solution

The fourth proportional to 308,365.36, 425,615.32 and 200,748 is: 277,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,365.36 : 425,615.32 = 200,748 : x
  2. Step 2: Convert to fraction form
    308,365.36/425,615.32 = 200,748/x
  3. Step 3: Cross multiply
    308,365.36x = 425,615.32 × 200,748
  4. Step 4: Simplify right side
    308,365.36x = 85,441,424,259.36
  5. Step 5: Solve for x
    x = 85,441,424,259.36/308,365.36
  6. Step 6: Final answer
    x = 277,078.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.