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Finding the Fourth Proportional to 313,796.09, 433,039.16 and 170,555.76

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Solution

The fourth proportional to 313,796.09, 433,039.16 and 170,555.76 is: 235,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796.09 : 433,039.16 = 170,555.76 : x
  2. Step 2: Convert to fraction form
    313,796.09/433,039.16 = 170,555.76/x
  3. Step 3: Cross multiply
    313,796.09x = 433,039.16 × 170,555.76
  4. Step 4: Simplify right side
    313,796.09x = 73,857,323,469.95
  5. Step 5: Solve for x
    x = 73,857,323,469.95/313,796.09
  6. Step 6: Final answer
    x = 235,367.25

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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.