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Finding the Fourth Proportional to 462,411.92, 693,602.25 and 162,884.68

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Solution

The fourth proportional to 462,411.92, 693,602.25 and 162,884.68 is: 244,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,411.92 : 693,602.25 = 162,884.68 : x
  2. Step 2: Convert to fraction form
    462,411.92/693,602.25 = 162,884.68/x
  3. Step 3: Cross multiply
    462,411.92x = 693,602.25 × 162,884.68
  4. Step 4: Simplify right side
    462,411.92x = 112,977,177,477.73
  5. Step 5: Solve for x
    x = 112,977,177,477.73/462,411.92
  6. Step 6: Final answer
    x = 244,321.51

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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.