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Finding the Fourth Proportional to 978,455.60, 1,467,683.40 and 313,674.80

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Solution

The fourth proportional to 978,455.60, 1,467,683.40 and 313,674.80 is: 470,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,455.60 : 1,467,683.40 = 313,674.80 : x
  2. Step 2: Convert to fraction form
    978,455.60/1,467,683.40 = 313,674.80/x
  3. Step 3: Cross multiply
    978,455.60x = 1,467,683.40 × 313,674.80
  4. Step 4: Simplify right side
    978,455.60x = 460,375,296,958.32
  5. Step 5: Solve for x
    x = 460,375,296,958.32/978,455.60
  6. Step 6: Final answer
    x = 470,512.20

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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.