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Finding the Fourth Proportional to 411,916.32, 568,394.64 and 230,614.02

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Solution

The fourth proportional to 411,916.32, 568,394.64 and 230,614.02 is: 318,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,916.32 : 568,394.64 = 230,614.02 : x
  2. Step 2: Convert to fraction form
    411,916.32/568,394.64 = 230,614.02/x
  3. Step 3: Cross multiply
    411,916.32x = 568,394.64 × 230,614.02
  4. Step 4: Simplify right side
    411,916.32x = 131,079,772,876.85
  5. Step 5: Solve for x
    x = 131,079,772,876.85/411,916.32
  6. Step 6: Final answer
    x = 318,219.42

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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.