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Finding the Fourth Proportional to 432,874.10, 649,639.20 and 283,064.60

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Solution

The fourth proportional to 432,874.10, 649,639.20 and 283,064.60 is: 424,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,874.10 : 649,639.20 = 283,064.60 : x
  2. Step 2: Convert to fraction form
    432,874.10/649,639.20 = 283,064.60/x
  3. Step 3: Cross multiply
    432,874.10x = 649,639.20 × 283,064.60
  4. Step 4: Simplify right side
    432,874.10x = 183,889,860,292.32
  5. Step 5: Solve for x
    x = 183,889,860,292.32/432,874.10
  6. Step 6: Final answer
    x = 424,811.42

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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.