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Finding the Fourth Proportional to 410,317.25, 615,506.99 and 110,793.47

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Solution

The fourth proportional to 410,317.25, 615,506.99 and 110,793.47 is: 166,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,317.25 : 615,506.99 = 110,793.47 : x
  2. Step 2: Convert to fraction form
    410,317.25/615,506.99 = 110,793.47/x
  3. Step 3: Cross multiply
    410,317.25x = 615,506.99 × 110,793.47
  4. Step 4: Simplify right side
    410,317.25x = 68,194,151,599.85
  5. Step 5: Solve for x
    x = 68,194,151,599.85/410,317.25
  6. Step 6: Final answer
    x = 166,198.60

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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.