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Finding the Fourth Proportional to 410,101.68, 565,984.08 and 228,876.60

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Solution

The fourth proportional to 410,101.68, 565,984.08 and 228,876.60 is: 315,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,101.68 : 565,984.08 = 228,876.60 : x
  2. Step 2: Convert to fraction form
    410,101.68/565,984.08 = 228,876.60/x
  3. Step 3: Cross multiply
    410,101.68x = 565,984.08 × 228,876.60
  4. Step 4: Simplify right side
    410,101.68x = 129,540,511,884.53
  5. Step 5: Solve for x
    x = 129,540,511,884.53/410,101.68
  6. Step 6: Final answer
    x = 315,874.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.