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Finding the Fourth Proportional to 455,714.20, 683,603.70 and 140,170.60

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Solution

The fourth proportional to 455,714.20, 683,603.70 and 140,170.60 is: 210,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,714.20 : 683,603.70 = 140,170.60 : x
  2. Step 2: Convert to fraction form
    455,714.20/683,603.70 = 140,170.60/x
  3. Step 3: Cross multiply
    455,714.20x = 683,603.70 × 140,170.60
  4. Step 4: Simplify right side
    455,714.20x = 95,821,140,791.22
  5. Step 5: Solve for x
    x = 95,821,140,791.22/455,714.20
  6. Step 6: Final answer
    x = 210,265.87

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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.