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Finding the Fourth Proportional to 274,023.18, 411,407.51 and 154,164.48

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Solution

The fourth proportional to 274,023.18, 411,407.51 and 154,164.48 is: 231,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,023.18 : 411,407.51 = 154,164.48 : x
  2. Step 2: Convert to fraction form
    274,023.18/411,407.51 = 154,164.48/x
  3. Step 3: Cross multiply
    274,023.18x = 411,407.51 × 154,164.48
  4. Step 4: Simplify right side
    274,023.18x = 63,424,422,533.64
  5. Step 5: Solve for x
    x = 63,424,422,533.64/274,023.18
  6. Step 6: Final answer
    x = 231,456.41

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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.