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Finding the Fourth Proportional to 432,843.40, 649,265.10 and 416,254.60

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Solution

The fourth proportional to 432,843.40, 649,265.10 and 416,254.60 is: 624,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,843.40 : 649,265.10 = 416,254.60 : x
  2. Step 2: Convert to fraction form
    432,843.40/649,265.10 = 416,254.60/x
  3. Step 3: Cross multiply
    432,843.40x = 649,265.10 × 416,254.60
  4. Step 4: Simplify right side
    432,843.40x = 270,259,584,494.46
  5. Step 5: Solve for x
    x = 270,259,584,494.46/432,843.40
  6. Step 6: Final answer
    x = 624,381.90

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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.