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Finding the Fourth Proportional to 298,591.50, 412,056.28 and 164,455.50

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Solution

The fourth proportional to 298,591.50, 412,056.28 and 164,455.50 is: 226,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,591.50 : 412,056.28 = 164,455.50 : x
  2. Step 2: Convert to fraction form
    298,591.50/412,056.28 = 164,455.50/x
  3. Step 3: Cross multiply
    298,591.50x = 412,056.28 × 164,455.50
  4. Step 4: Simplify right side
    298,591.50x = 67,764,921,555.54
  5. Step 5: Solve for x
    x = 67,764,921,555.54/298,591.50
  6. Step 6: Final answer
    x = 226,948.60

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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.