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Finding the Fourth Proportional to 264,216.80, 396,396.74 and 188,411.14

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Solution

The fourth proportional to 264,216.80, 396,396.74 and 188,411.14 is: 282,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,216.80 : 396,396.74 = 188,411.14 : x
  2. Step 2: Convert to fraction form
    264,216.80/396,396.74 = 188,411.14/x
  3. Step 3: Cross multiply
    264,216.80x = 396,396.74 × 188,411.14
  4. Step 4: Simplify right side
    264,216.80x = 74,685,561,675.68
  5. Step 5: Solve for x
    x = 74,685,561,675.68/264,216.80
  6. Step 6: Final answer
    x = 282,667.72

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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.