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Finding the Fourth Proportional to 265,314.56, 397,906.20 and 165,423.36

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Solution

The fourth proportional to 265,314.56, 397,906.20 and 165,423.36 is: 248,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,314.56 : 397,906.20 = 165,423.36 : x
  2. Step 2: Convert to fraction form
    265,314.56/397,906.20 = 165,423.36/x
  3. Step 3: Cross multiply
    265,314.56x = 397,906.20 × 165,423.36
  4. Step 4: Simplify right side
    265,314.56x = 65,822,980,568.83
  5. Step 5: Solve for x
    x = 65,822,980,568.83/265,314.56
  6. Step 6: Final answer
    x = 248,094.11

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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.