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Finding the Fourth Proportional to 381,665.70, 572,498.55 and 339,675.30

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Solution

The fourth proportional to 381,665.70, 572,498.55 and 339,675.30 is: 509,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,665.70 : 572,498.55 = 339,675.30 : x
  2. Step 2: Convert to fraction form
    381,665.70/572,498.55 = 339,675.30/x
  3. Step 3: Cross multiply
    381,665.70x = 572,498.55 × 339,675.30
  4. Step 4: Simplify right side
    381,665.70x = 194,463,616,720.82
  5. Step 5: Solve for x
    x = 194,463,616,720.82/381,665.70
  6. Step 6: Final answer
    x = 509,512.95

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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.