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Finding the Fourth Proportional to 298,633.60, 412,114.40 and 164,497.60

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Solution

The fourth proportional to 298,633.60, 412,114.40 and 164,497.60 is: 227,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,633.60 : 412,114.40 = 164,497.60 : x
  2. Step 2: Convert to fraction form
    298,633.60/412,114.40 = 164,497.60/x
  3. Step 3: Cross multiply
    298,633.60x = 412,114.40 × 164,497.60
  4. Step 4: Simplify right side
    298,633.60x = 67,791,829,725.44
  5. Step 5: Solve for x
    x = 67,791,829,725.44/298,633.60
  6. Step 6: Final answer
    x = 227,006.71

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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.