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Finding the Fourth Proportional to 285,475.20, 428,212.80 and 85,826.40

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Solution

The fourth proportional to 285,475.20, 428,212.80 and 85,826.40 is: 128,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,475.20 : 428,212.80 = 85,826.40 : x
  2. Step 2: Convert to fraction form
    285,475.20/428,212.80 = 85,826.40/x
  3. Step 3: Cross multiply
    285,475.20x = 428,212.80 × 85,826.40
  4. Step 4: Simplify right side
    285,475.20x = 36,751,963,057.92
  5. Step 5: Solve for x
    x = 36,751,963,057.92/285,475.20
  6. Step 6: Final answer
    x = 128,739.60

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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.