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Finding the Fourth Proportional to 401,142.36, 553,580.79 and 219,850.38

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Solution

The fourth proportional to 401,142.36, 553,580.79 and 219,850.38 is: 303,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,142.36 : 553,580.79 = 219,850.38 : x
  2. Step 2: Convert to fraction form
    401,142.36/553,580.79 = 219,850.38/x
  3. Step 3: Cross multiply
    401,142.36x = 553,580.79 × 219,850.38
  4. Step 4: Simplify right side
    401,142.36x = 121,704,947,042.20
  5. Step 5: Solve for x
    x = 121,704,947,042.20/401,142.36
  6. Step 6: Final answer
    x = 303,395.90

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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.