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Finding the Fourth Proportional to 526,685, 726,826.74 and 288,221

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Solution

The fourth proportional to 526,685, 726,826.74 and 288,221 is: 397,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,685 : 726,826.74 = 288,221 : x
  2. Step 2: Convert to fraction form
    526,685/726,826.74 = 288,221/x
  3. Step 3: Cross multiply
    526,685x = 726,826.74 × 288,221
  4. Step 4: Simplify right side
    526,685x = 209,486,729,829.54
  5. Step 5: Solve for x
    x = 209,486,729,829.54/526,685
  6. Step 6: Final answer
    x = 397,745.77

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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.