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Finding the Fourth Proportional to 254,224.40, 381,461.74 and 179,822.66

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Solution

The fourth proportional to 254,224.40, 381,461.74 and 179,822.66 is: 269,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,224.40 : 381,461.74 = 179,822.66 : x
  2. Step 2: Convert to fraction form
    254,224.40/381,461.74 = 179,822.66/x
  3. Step 3: Cross multiply
    254,224.40x = 381,461.74 × 179,822.66
  4. Step 4: Simplify right side
    254,224.40x = 68,595,462,418.16
  5. Step 5: Solve for x
    x = 68,595,462,418.16/254,224.40
  6. Step 6: Final answer
    x = 269,822.50

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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.