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Finding the Fourth Proportional to 653,028.70, 978,230.85 and 440,452.30

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Solution

The fourth proportional to 653,028.70, 978,230.85 and 440,452.30 is: 659,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,028.70 : 978,230.85 = 440,452.30 : x
  2. Step 2: Convert to fraction form
    653,028.70/978,230.85 = 440,452.30/x
  3. Step 3: Cross multiply
    653,028.70x = 978,230.85 × 440,452.30
  4. Step 4: Simplify right side
    653,028.70x = 430,864,027,813.46
  5. Step 5: Solve for x
    x = 430,864,027,813.46/653,028.70
  6. Step 6: Final answer
    x = 659,793.40

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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.