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Finding the Fourth Proportional to 264,107.71, 364,609.85 and 206,624.85

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Solution

The fourth proportional to 264,107.71, 364,609.85 and 206,624.85 is: 285,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,107.71 : 364,609.85 = 206,624.85 : x
  2. Step 2: Convert to fraction form
    264,107.71/364,609.85 = 206,624.85/x
  3. Step 3: Cross multiply
    264,107.71x = 364,609.85 × 206,624.85
  4. Step 4: Simplify right side
    264,107.71x = 75,337,455,564.77
  5. Step 5: Solve for x
    x = 75,337,455,564.77/264,107.71
  6. Step 6: Final answer
    x = 285,252.77

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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.