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Finding the Fourth Proportional to 298,282.38, 411,629.75 and 164,146.38

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Solution

The fourth proportional to 298,282.38, 411,629.75 and 164,146.38 is: 226,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,282.38 : 411,629.75 = 164,146.38 : x
  2. Step 2: Convert to fraction form
    298,282.38/411,629.75 = 164,146.38/x
  3. Step 3: Cross multiply
    298,282.38x = 411,629.75 × 164,146.38
  4. Step 4: Simplify right side
    298,282.38x = 67,567,533,362.81
  5. Step 5: Solve for x
    x = 67,567,533,362.81/298,282.38
  6. Step 6: Final answer
    x = 226,522.04

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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.