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Finding the Fourth Proportional to 410,166.40, 615,249.60 and 188,982.40

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Solution

The fourth proportional to 410,166.40, 615,249.60 and 188,982.40 is: 283,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,166.40 : 615,249.60 = 188,982.40 : x
  2. Step 2: Convert to fraction form
    410,166.40/615,249.60 = 188,982.40/x
  3. Step 3: Cross multiply
    410,166.40x = 615,249.60 × 188,982.40
  4. Step 4: Simplify right side
    410,166.40x = 116,271,346,007.04
  5. Step 5: Solve for x
    x = 116,271,346,007.04/410,166.40
  6. Step 6: Final answer
    x = 283,473.60

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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.