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Finding the Fourth Proportional to 218,827.40, 328,241.10 and 204,830.60

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Solution

The fourth proportional to 218,827.40, 328,241.10 and 204,830.60 is: 307,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,827.40 : 328,241.10 = 204,830.60 : x
  2. Step 2: Convert to fraction form
    218,827.40/328,241.10 = 204,830.60/x
  3. Step 3: Cross multiply
    218,827.40x = 328,241.10 × 204,830.60
  4. Step 4: Simplify right side
    218,827.40x = 67,233,821,457.66
  5. Step 5: Solve for x
    x = 67,233,821,457.66/218,827.40
  6. Step 6: Final answer
    x = 307,245.90

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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.