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Finding the Fourth Proportional to 404,542.20, 607,202.10 and 205,087.80

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Solution

The fourth proportional to 404,542.20, 607,202.10 and 205,087.80 is: 307,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,542.20 : 607,202.10 = 205,087.80 : x
  2. Step 2: Convert to fraction form
    404,542.20/607,202.10 = 205,087.80/x
  3. Step 3: Cross multiply
    404,542.20x = 607,202.10 × 205,087.80
  4. Step 4: Simplify right side
    404,542.20x = 124,529,742,844.38
  5. Step 5: Solve for x
    x = 124,529,742,844.38/404,542.20
  6. Step 6: Final answer
    x = 307,828.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.