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Finding the Fourth Proportional to 488,249.10, 684,015.30 and 488,249.10

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Solution

The fourth proportional to 488,249.10, 684,015.30 and 488,249.10 is: 684,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,249.10 : 684,015.30 = 488,249.10 : x
  2. Step 2: Convert to fraction form
    488,249.10/684,015.30 = 488,249.10/x
  3. Step 3: Cross multiply
    488,249.10x = 684,015.30 × 488,249.10
  4. Step 4: Simplify right side
    488,249.10x = 333,969,854,611.23
  5. Step 5: Solve for x
    x = 333,969,854,611.23/488,249.10
  6. Step 6: Final answer
    x = 684,015.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.