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Finding the Fourth Proportional to 313,933.68, 470,635.08 and 136,306.32

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Solution

The fourth proportional to 313,933.68, 470,635.08 and 136,306.32 is: 204,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,933.68 : 470,635.08 = 136,306.32 : x
  2. Step 2: Convert to fraction form
    313,933.68/470,635.08 = 136,306.32/x
  3. Step 3: Cross multiply
    313,933.68x = 470,635.08 × 136,306.32
  4. Step 4: Simplify right side
    313,933.68x = 64,150,535,817.71
  5. Step 5: Solve for x
    x = 64,150,535,817.71/313,933.68
  6. Step 6: Final answer
    x = 204,344.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.