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Finding the Fourth Proportional to 384,163.95, 530,132.34 and 212,078.23

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Solution

The fourth proportional to 384,163.95, 530,132.34 and 212,078.23 is: 292,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,163.95 : 530,132.34 = 212,078.23 : x
  2. Step 2: Convert to fraction form
    384,163.95/530,132.34 = 212,078.23/x
  3. Step 3: Cross multiply
    384,163.95x = 530,132.34 × 212,078.23
  4. Step 4: Simplify right side
    384,163.95x = 112,429,527,802.92
  5. Step 5: Solve for x
    x = 112,429,527,802.92/384,163.95
  6. Step 6: Final answer
    x = 292,660.27

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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.