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Finding the Fourth Proportional to 456,201.70, 684,302.55 and 206,883.70

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Solution

The fourth proportional to 456,201.70, 684,302.55 and 206,883.70 is: 310,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,201.70 : 684,302.55 = 206,883.70 : x
  2. Step 2: Convert to fraction form
    456,201.70/684,302.55 = 206,883.70/x
  3. Step 3: Cross multiply
    456,201.70x = 684,302.55 × 206,883.70
  4. Step 4: Simplify right side
    456,201.70x = 141,571,043,463.44
  5. Step 5: Solve for x
    x = 141,571,043,463.44/456,201.70
  6. Step 6: Final answer
    x = 310,325.55

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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.