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Finding the Fourth Proportional to 686,845.80, 1,029,977.10 and 331,968.60

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Solution

The fourth proportional to 686,845.80, 1,029,977.10 and 331,968.60 is: 497,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,845.80 : 1,029,977.10 = 331,968.60 : x
  2. Step 2: Convert to fraction form
    686,845.80/1,029,977.10 = 331,968.60/x
  3. Step 3: Cross multiply
    686,845.80x = 1,029,977.10 × 331,968.60
  4. Step 4: Simplify right side
    686,845.80x = 341,920,055,919.06
  5. Step 5: Solve for x
    x = 341,920,055,919.06/686,845.80
  6. Step 6: Final answer
    x = 497,811.96

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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.