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Finding the Fourth Proportional to 978,523.60, 1,467,785.40 and 313,742.80

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Solution

The fourth proportional to 978,523.60, 1,467,785.40 and 313,742.80 is: 470,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,523.60 : 1,467,785.40 = 313,742.80 : x
  2. Step 2: Convert to fraction form
    978,523.60/1,467,785.40 = 313,742.80/x
  3. Step 3: Cross multiply
    978,523.60x = 1,467,785.40 × 313,742.80
  4. Step 4: Simplify right side
    978,523.60x = 460,507,101,195.12
  5. Step 5: Solve for x
    x = 460,507,101,195.12/978,523.60
  6. Step 6: Final answer
    x = 470,614.20

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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.