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Finding the Fourth Proportional to 265,150.80, 396,944.64 and 175,027.23

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Solution

The fourth proportional to 265,150.80, 396,944.64 and 175,027.23 is: 262,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,150.80 : 396,944.64 = 175,027.23 : x
  2. Step 2: Convert to fraction form
    265,150.80/396,944.64 = 175,027.23/x
  3. Step 3: Cross multiply
    265,150.80x = 396,944.64 × 175,027.23
  4. Step 4: Simplify right side
    265,150.80x = 69,476,120,802.55
  5. Step 5: Solve for x
    x = 69,476,120,802.55/265,150.80
  6. Step 6: Final answer
    x = 262,024.93

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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.