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Finding the Fourth Proportional to 285,539.10, 428,330.52 and 75,174

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Solution

The fourth proportional to 285,539.10, 428,330.52 and 75,174 is: 112,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,539.10 : 428,330.52 = 75,174 : x
  2. Step 2: Convert to fraction form
    285,539.10/428,330.52 = 75,174/x
  3. Step 3: Cross multiply
    285,539.10x = 428,330.52 × 75,174
  4. Step 4: Simplify right side
    285,539.10x = 32,199,318,510.48
  5. Step 5: Solve for x
    x = 32,199,318,510.48/285,539.10
  6. Step 6: Final answer
    x = 112,766.76

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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.