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Finding the Fourth Proportional to 314,469.60, 471,704.40 and 209,493.60

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Solution

The fourth proportional to 314,469.60, 471,704.40 and 209,493.60 is: 314,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,469.60 : 471,704.40 = 209,493.60 : x
  2. Step 2: Convert to fraction form
    314,469.60/471,704.40 = 209,493.60/x
  3. Step 3: Cross multiply
    314,469.60x = 471,704.40 × 209,493.60
  4. Step 4: Simplify right side
    314,469.60x = 98,819,052,891.84
  5. Step 5: Solve for x
    x = 98,819,052,891.84/314,469.60
  6. Step 6: Final answer
    x = 314,240.40

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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.