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Finding the Fourth Proportional to 410,099.40, 615,149.10 and 114,611.40

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Solution

The fourth proportional to 410,099.40, 615,149.10 and 114,611.40 is: 171,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,099.40 : 615,149.10 = 114,611.40 : x
  2. Step 2: Convert to fraction form
    410,099.40/615,149.10 = 114,611.40/x
  3. Step 3: Cross multiply
    410,099.40x = 615,149.10 × 114,611.40
  4. Step 4: Simplify right side
    410,099.40x = 70,503,099,559.74
  5. Step 5: Solve for x
    x = 70,503,099,559.74/410,099.40
  6. Step 6: Final answer
    x = 171,917.10

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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.