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Finding the Fourth Proportional to 456,496.83, 684,611.46 and 171,982.10

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Solution

The fourth proportional to 456,496.83, 684,611.46 and 171,982.10 is: 257,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,496.83 : 684,611.46 = 171,982.10 : x
  2. Step 2: Convert to fraction form
    456,496.83/684,611.46 = 171,982.10/x
  3. Step 3: Cross multiply
    456,496.83x = 684,611.46 × 171,982.10
  4. Step 4: Simplify right side
    456,496.83x = 117,740,918,286.40
  5. Step 5: Solve for x
    x = 117,740,918,286.40/456,496.83
  6. Step 6: Final answer
    x = 257,922.75

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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.