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Finding the Fourth Proportional to 313,846.40, 433,065.60 and 200,588.80

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Solution

The fourth proportional to 313,846.40, 433,065.60 and 200,588.80 is: 276,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.40 : 433,065.60 = 200,588.80 : x
  2. Step 2: Convert to fraction form
    313,846.40/433,065.60 = 200,588.80/x
  3. Step 3: Cross multiply
    313,846.40x = 433,065.60 × 200,588.80
  4. Step 4: Simplify right side
    313,846.40x = 86,868,109,025.28
  5. Step 5: Solve for x
    x = 86,868,109,025.28/313,846.40
  6. Step 6: Final answer
    x = 276,785.42

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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.