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Finding the Fourth Proportional to 298,624.38, 412,101.66 and 164,488.38

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Solution

The fourth proportional to 298,624.38, 412,101.66 and 164,488.38 is: 226,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,624.38 : 412,101.66 = 164,488.38 : x
  2. Step 2: Convert to fraction form
    298,624.38/412,101.66 = 164,488.38/x
  3. Step 3: Cross multiply
    298,624.38x = 412,101.66 × 164,488.38
  4. Step 4: Simplify right side
    298,624.38x = 67,785,934,448.71
  5. Step 5: Solve for x
    x = 67,785,934,448.71/298,624.38
  6. Step 6: Final answer
    x = 226,993.97

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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.