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Finding the Fourth Proportional to 411,742.20, 616,835.70 and 211,380.60

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Solution

The fourth proportional to 411,742.20, 616,835.70 and 211,380.60 is: 316,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,742.20 : 616,835.70 = 211,380.60 : x
  2. Step 2: Convert to fraction form
    411,742.20/616,835.70 = 211,380.60/x
  3. Step 3: Cross multiply
    411,742.20x = 616,835.70 × 211,380.60
  4. Step 4: Simplify right side
    411,742.20x = 130,387,100,367.42
  5. Step 5: Solve for x
    x = 130,387,100,367.42/411,742.20
  6. Step 6: Final answer
    x = 316,671.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.