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Finding the Fourth Proportional to 432,841.40, 649,262.10 and 416,252.60

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Solution

The fourth proportional to 432,841.40, 649,262.10 and 416,252.60 is: 624,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,841.40 : 649,262.10 = 416,252.60 : x
  2. Step 2: Convert to fraction form
    432,841.40/649,262.10 = 416,252.60/x
  3. Step 3: Cross multiply
    432,841.40x = 649,262.10 × 416,252.60
  4. Step 4: Simplify right side
    432,841.40x = 270,257,037,206.46
  5. Step 5: Solve for x
    x = 270,257,037,206.46/432,841.40
  6. Step 6: Final answer
    x = 624,378.90

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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.