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Finding the Fourth Proportional to 514,195.93, 709,506.03 and 323,074

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Solution

The fourth proportional to 514,195.93, 709,506.03 and 323,074 is: 445,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,195.93 : 709,506.03 = 323,074 : x
  2. Step 2: Convert to fraction form
    514,195.93/709,506.03 = 323,074/x
  3. Step 3: Cross multiply
    514,195.93x = 709,506.03 × 323,074
  4. Step 4: Simplify right side
    514,195.93x = 229,222,951,136.22
  5. Step 5: Solve for x
    x = 229,222,951,136.22/514,195.93
  6. Step 6: Final answer
    x = 445,789.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.