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Finding the Fourth Proportional to 285,311.56, 428,038.50 and 85,635.64

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Solution

The fourth proportional to 285,311.56, 428,038.50 and 85,635.64 is: 128,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.56 : 428,038.50 = 85,635.64 : x
  2. Step 2: Convert to fraction form
    285,311.56/428,038.50 = 85,635.64/x
  3. Step 3: Cross multiply
    285,311.56x = 428,038.50 × 85,635.64
  4. Step 4: Simplify right side
    285,311.56x = 36,655,350,892.14
  5. Step 5: Solve for x
    x = 36,655,350,892.14/285,311.56
  6. Step 6: Final answer
    x = 128,474.82

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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.