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Finding the Fourth Proportional to 264,106.71, 364,608.47 and 206,623.85

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Solution

The fourth proportional to 264,106.71, 364,608.47 and 206,623.85 is: 285,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,106.71 : 364,608.47 = 206,623.85 : x
  2. Step 2: Convert to fraction form
    264,106.71/364,608.47 = 206,623.85/x
  3. Step 3: Cross multiply
    264,106.71x = 364,608.47 × 206,623.85
  4. Step 4: Simplify right side
    264,106.71x = 75,336,804,507.53
  5. Step 5: Solve for x
    x = 75,336,804,507.53/264,106.71
  6. Step 6: Final answer
    x = 285,251.38

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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.