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Finding the Fourth Proportional to 298,760.40, 412,284 and 162,795.52

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Solution

The fourth proportional to 298,760.40, 412,284 and 162,795.52 is: 224,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,760.40 : 412,284 = 162,795.52 : x
  2. Step 2: Convert to fraction form
    298,760.40/412,284 = 162,795.52/x
  3. Step 3: Cross multiply
    298,760.40x = 412,284 × 162,795.52
  4. Step 4: Simplify right side
    298,760.40x = 67,117,988,167.68
  5. Step 5: Solve for x
    x = 67,117,988,167.68/298,760.40
  6. Step 6: Final answer
    x = 224,654.90

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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.