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Finding the Fourth Proportional to 517,414.60, 776,121.90 and 455,206.60

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Solution

The fourth proportional to 517,414.60, 776,121.90 and 455,206.60 is: 682,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,414.60 : 776,121.90 = 455,206.60 : x
  2. Step 2: Convert to fraction form
    517,414.60/776,121.90 = 455,206.60/x
  3. Step 3: Cross multiply
    517,414.60x = 776,121.90 × 455,206.60
  4. Step 4: Simplify right side
    517,414.60x = 353,295,811,284.54
  5. Step 5: Solve for x
    x = 353,295,811,284.54/517,414.60
  6. Step 6: Final answer
    x = 682,809.90

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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.