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Finding the Fourth Proportional to 264,212.68, 396,390.48 and 188,406.96

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Solution

The fourth proportional to 264,212.68, 396,390.48 and 188,406.96 is: 282,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,212.68 : 396,390.48 = 188,406.96 : x
  2. Step 2: Convert to fraction form
    264,212.68/396,390.48 = 188,406.96/x
  3. Step 3: Cross multiply
    264,212.68x = 396,390.48 × 188,406.96
  4. Step 4: Simplify right side
    264,212.68x = 74,682,725,309.74
  5. Step 5: Solve for x
    x = 74,682,725,309.74/264,212.68
  6. Step 6: Final answer
    x = 282,661.40

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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.