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Finding the Fourth Proportional to 410,185.70, 615,278.55 and 298,211.30

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Solution

The fourth proportional to 410,185.70, 615,278.55 and 298,211.30 is: 447,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,185.70 : 615,278.55 = 298,211.30 : x
  2. Step 2: Convert to fraction form
    410,185.70/615,278.55 = 298,211.30/x
  3. Step 3: Cross multiply
    410,185.70x = 615,278.55 × 298,211.30
  4. Step 4: Simplify right side
    410,185.70x = 183,483,016,257.62
  5. Step 5: Solve for x
    x = 183,483,016,257.62/410,185.70
  6. Step 6: Final answer
    x = 447,316.95

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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.