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Finding the Fourth Proportional to 342,019.20, 513,028.80 and 200,301.60

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Solution

The fourth proportional to 342,019.20, 513,028.80 and 200,301.60 is: 300,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,019.20 : 513,028.80 = 200,301.60 : x
  2. Step 2: Convert to fraction form
    342,019.20/513,028.80 = 200,301.60/x
  3. Step 3: Cross multiply
    342,019.20x = 513,028.80 × 200,301.60
  4. Step 4: Simplify right side
    342,019.20x = 102,760,489,486.08
  5. Step 5: Solve for x
    x = 102,760,489,486.08/342,019.20
  6. Step 6: Final answer
    x = 300,452.40

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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.