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Finding the Fourth Proportional to 432,861.40, 649,292.10 and 416,272.60

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Solution

The fourth proportional to 432,861.40, 649,292.10 and 416,272.60 is: 624,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,861.40 : 649,292.10 = 416,272.60 : x
  2. Step 2: Convert to fraction form
    432,861.40/649,292.10 = 416,272.60/x
  3. Step 3: Cross multiply
    432,861.40x = 649,292.10 × 416,272.60
  4. Step 4: Simplify right side
    432,861.40x = 270,282,510,626.46
  5. Step 5: Solve for x
    x = 270,282,510,626.46/432,861.40
  6. Step 6: Final answer
    x = 624,408.90

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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.