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Finding the Fourth Proportional to 313,832.35, 433,083.54 and 170,596

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Solution

The fourth proportional to 313,832.35, 433,083.54 and 170,596 is: 235,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832.35 : 433,083.54 = 170,596 : x
  2. Step 2: Convert to fraction form
    313,832.35/433,083.54 = 170,596/x
  3. Step 3: Cross multiply
    313,832.35x = 433,083.54 × 170,596
  4. Step 4: Simplify right side
    313,832.35x = 73,882,319,589.84
  5. Step 5: Solve for x
    x = 73,882,319,589.84/313,832.35
  6. Step 6: Final answer
    x = 235,419.71

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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.