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Finding the Fourth Proportional to 410,181.70, 615,272.55 and 305,205.70

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Solution

The fourth proportional to 410,181.70, 615,272.55 and 305,205.70 is: 457,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,181.70 : 615,272.55 = 305,205.70 : x
  2. Step 2: Convert to fraction form
    410,181.70/615,272.55 = 305,205.70/x
  3. Step 3: Cross multiply
    410,181.70x = 615,272.55 × 305,205.70
  4. Step 4: Simplify right side
    410,181.70x = 187,784,689,313.54
  5. Step 5: Solve for x
    x = 187,784,689,313.54/410,181.70
  6. Step 6: Final answer
    x = 457,808.55

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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.