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Finding the Fourth Proportional to 317,916.36, 438,542.10 and 198,477

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Solution

The fourth proportional to 317,916.36, 438,542.10 and 198,477 is: 273,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,916.36 : 438,542.10 = 198,477 : x
  2. Step 2: Convert to fraction form
    317,916.36/438,542.10 = 198,477/x
  3. Step 3: Cross multiply
    317,916.36x = 438,542.10 × 198,477
  4. Step 4: Simplify right side
    317,916.36x = 87,040,520,381.70
  5. Step 5: Solve for x
    x = 87,040,520,381.70/317,916.36
  6. Step 6: Final answer
    x = 273,784.34

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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.