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Finding the Fourth Proportional to 453,671.63, 680,086.78 and 200,817.30

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Solution

The fourth proportional to 453,671.63, 680,086.78 and 200,817.30 is: 301,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,671.63 : 680,086.78 = 200,817.30 : x
  2. Step 2: Convert to fraction form
    453,671.63/680,086.78 = 200,817.30/x
  3. Step 3: Cross multiply
    453,671.63x = 680,086.78 × 200,817.30
  4. Step 4: Simplify right side
    453,671.63x = 136,573,190,423.25
  5. Step 5: Solve for x
    x = 136,573,190,423.25/453,671.63
  6. Step 6: Final answer
    x = 301,039.75

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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.