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Finding the Fourth Proportional to 313,863.76, 433,140.48 and 170,633.44

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Solution

The fourth proportional to 313,863.76, 433,140.48 and 170,633.44 is: 235,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863.76 : 433,140.48 = 170,633.44 : x
  2. Step 2: Convert to fraction form
    313,863.76/433,140.48 = 170,633.44/x
  3. Step 3: Cross multiply
    313,863.76x = 433,140.48 × 170,633.44
  4. Step 4: Simplify right side
    313,863.76x = 73,908,250,105.65
  5. Step 5: Solve for x
    x = 73,908,250,105.65/313,863.76
  6. Step 6: Final answer
    x = 235,478.76

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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.