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Finding the Fourth Proportional to 428,179.68, 642,284.10 and 203,424.12

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Solution

The fourth proportional to 428,179.68, 642,284.10 and 203,424.12 is: 305,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,179.68 : 642,284.10 = 203,424.12 : x
  2. Step 2: Convert to fraction form
    428,179.68/642,284.10 = 203,424.12/x
  3. Step 3: Cross multiply
    428,179.68x = 642,284.10 × 203,424.12
  4. Step 4: Simplify right side
    428,179.68x = 130,656,077,832.49
  5. Step 5: Solve for x
    x = 130,656,077,832.49/428,179.68
  6. Step 6: Final answer
    x = 305,143.11

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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.