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Finding the Fourth Proportional to 265,283.44, 397,953.60 and 113,496.28

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Solution

The fourth proportional to 265,283.44, 397,953.60 and 113,496.28 is: 170,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,283.44 : 397,953.60 = 113,496.28 : x
  2. Step 2: Convert to fraction form
    265,283.44/397,953.60 = 113,496.28/x
  3. Step 3: Cross multiply
    265,283.44x = 397,953.60 × 113,496.28
  4. Step 4: Simplify right side
    265,283.44x = 45,166,253,212.61
  5. Step 5: Solve for x
    x = 45,166,253,212.61/265,283.44
  6. Step 6: Final answer
    x = 170,256.59

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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.