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Finding the Fourth Proportional to 613,310.70, 920,950.20 and 414,512.40

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Solution

The fourth proportional to 613,310.70, 920,950.20 and 414,512.40 is: 622,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,310.70 : 920,950.20 = 414,512.40 : x
  2. Step 2: Convert to fraction form
    613,310.70/920,950.20 = 414,512.40/x
  3. Step 3: Cross multiply
    613,310.70x = 920,950.20 × 414,512.40
  4. Step 4: Simplify right side
    613,310.70x = 381,745,277,682.48
  5. Step 5: Solve for x
    x = 381,745,277,682.48/613,310.70
  6. Step 6: Final answer
    x = 622,433.75

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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.