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Finding the Fourth Proportional to 455,553.60, 683,314.20 and 206,235.60

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Solution

The fourth proportional to 455,553.60, 683,314.20 and 206,235.60 is: 309,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,553.60 : 683,314.20 = 206,235.60 : x
  2. Step 2: Convert to fraction form
    455,553.60/683,314.20 = 206,235.60/x
  3. Step 3: Cross multiply
    455,553.60x = 683,314.20 × 206,235.60
  4. Step 4: Simplify right side
    455,553.60x = 140,923,714,025.52
  5. Step 5: Solve for x
    x = 140,923,714,025.52/455,553.60
  6. Step 6: Final answer
    x = 309,346.07

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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.