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Finding the Fourth Proportional to 300,525.86, 414,735.07 and 164,572.71

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Solution

The fourth proportional to 300,525.86, 414,735.07 and 164,572.71 is: 227,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,525.86 : 414,735.07 = 164,572.71 : x
  2. Step 2: Convert to fraction form
    300,525.86/414,735.07 = 164,572.71/x
  3. Step 3: Cross multiply
    300,525.86x = 414,735.07 × 164,572.71
  4. Step 4: Simplify right side
    300,525.86x = 68,254,074,813.37
  5. Step 5: Solve for x
    x = 68,254,074,813.37/300,525.86
  6. Step 6: Final answer
    x = 227,115.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.