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Finding the Fourth Proportional to 298,677.20, 412,174.54 and 164,541.20

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Solution

The fourth proportional to 298,677.20, 412,174.54 and 164,541.20 is: 227,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,677.20 : 412,174.54 = 164,541.20 : x
  2. Step 2: Convert to fraction form
    298,677.20/412,174.54 = 164,541.20/x
  3. Step 3: Cross multiply
    298,677.20x = 412,174.54 × 164,541.20
  4. Step 4: Simplify right side
    298,677.20x = 67,819,693,421.05
  5. Step 5: Solve for x
    x = 67,819,693,421.05/298,677.20
  6. Step 6: Final answer
    x = 227,066.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.