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Finding the Fourth Proportional to 285,541.10, 428,333.52 and 75,176

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Solution

The fourth proportional to 285,541.10, 428,333.52 and 75,176 is: 112,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,541.10 : 428,333.52 = 75,176 : x
  2. Step 2: Convert to fraction form
    285,541.10/428,333.52 = 75,176/x
  3. Step 3: Cross multiply
    285,541.10x = 428,333.52 × 75,176
  4. Step 4: Simplify right side
    285,541.10x = 32,200,400,699.52
  5. Step 5: Solve for x
    x = 32,200,400,699.52/285,541.10
  6. Step 6: Final answer
    x = 112,769.76

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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.