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Finding the Fourth Proportional to 264,329.92, 364,780.74 and 149,608.56

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Solution

The fourth proportional to 264,329.92, 364,780.74 and 149,608.56 is: 206,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,329.92 : 364,780.74 = 149,608.56 : x
  2. Step 2: Convert to fraction form
    264,329.92/364,780.74 = 149,608.56/x
  3. Step 3: Cross multiply
    264,329.92x = 364,780.74 × 149,608.56
  4. Step 4: Simplify right side
    264,329.92x = 54,574,321,227.13
  5. Step 5: Solve for x
    x = 54,574,321,227.13/264,329.92
  6. Step 6: Final answer
    x = 206,462.90

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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.