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Finding the Fourth Proportional to 295,296.72, 407,367.74 and 193,277.26

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Solution

The fourth proportional to 295,296.72, 407,367.74 and 193,277.26 is: 266,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.72 : 407,367.74 = 193,277.26 : x
  2. Step 2: Convert to fraction form
    295,296.72/407,367.74 = 193,277.26/x
  3. Step 3: Cross multiply
    295,296.72x = 407,367.74 × 193,277.26
  4. Step 4: Simplify right side
    295,296.72x = 78,734,919,633.21
  5. Step 5: Solve for x
    x = 78,734,919,633.21/295,296.72
  6. Step 6: Final answer
    x = 266,629.85

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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.