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Finding the Fourth Proportional to 1,238,566.76, 1,857,404.43 and 428,731.14

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Solution

The fourth proportional to 1,238,566.76, 1,857,404.43 and 428,731.14 is: 642,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,566.76 : 1,857,404.43 = 428,731.14 : x
  2. Step 2: Convert to fraction form
    1,238,566.76/1,857,404.43 = 428,731.14/x
  3. Step 3: Cross multiply
    1,238,566.76x = 1,857,404.43 × 428,731.14
  4. Step 4: Simplify right side
    1,238,566.76x = 796,327,115,734.08
  5. Step 5: Solve for x
    x = 796,327,115,734.08/1,238,566.76
  6. Step 6: Final answer
    x = 642,942.42

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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.