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Finding the Fourth Proportional to 381,427.36, 526,542.96 and 260,764

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Solution

The fourth proportional to 381,427.36, 526,542.96 and 260,764 is: 359,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,427.36 : 526,542.96 = 260,764 : x
  2. Step 2: Convert to fraction form
    381,427.36/526,542.96 = 260,764/x
  3. Step 3: Cross multiply
    381,427.36x = 526,542.96 × 260,764
  4. Step 4: Simplify right side
    381,427.36x = 137,303,448,421.44
  5. Step 5: Solve for x
    x = 137,303,448,421.44/381,427.36
  6. Step 6: Final answer
    x = 359,972.73

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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.