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Finding the Fourth Proportional to 313,904.20, 470,241.90 and 188,873.80

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Solution

The fourth proportional to 313,904.20, 470,241.90 and 188,873.80 is: 282,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904.20 : 470,241.90 = 188,873.80 : x
  2. Step 2: Convert to fraction form
    313,904.20/470,241.90 = 188,873.80/x
  3. Step 3: Cross multiply
    313,904.20x = 470,241.90 × 188,873.80
  4. Step 4: Simplify right side
    313,904.20x = 88,816,374,572.22
  5. Step 5: Solve for x
    x = 88,816,374,572.22/313,904.20
  6. Step 6: Final answer
    x = 282,941.02

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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.