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Finding the Fourth Proportional to 381,093, 571,663.44 and 128,352.84

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Solution

The fourth proportional to 381,093, 571,663.44 and 128,352.84 is: 192,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,093 : 571,663.44 = 128,352.84 : x
  2. Step 2: Convert to fraction form
    381,093/571,663.44 = 128,352.84/x
  3. Step 3: Cross multiply
    381,093x = 571,663.44 × 128,352.84
  4. Step 4: Simplify right side
    381,093x = 73,374,626,048.17
  5. Step 5: Solve for x
    x = 73,374,626,048.17/381,093
  6. Step 6: Final answer
    x = 192,537.32

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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.