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Finding the Fourth Proportional to 359,468.40, 538,943.40 and 201,745.20

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Solution

The fourth proportional to 359,468.40, 538,943.40 and 201,745.20 is: 302,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,468.40 : 538,943.40 = 201,745.20 : x
  2. Step 2: Convert to fraction form
    359,468.40/538,943.40 = 201,745.20/x
  3. Step 3: Cross multiply
    359,468.40x = 538,943.40 × 201,745.20
  4. Step 4: Simplify right side
    359,468.40x = 108,729,244,021.68
  5. Step 5: Solve for x
    x = 108,729,244,021.68/359,468.40
  6. Step 6: Final answer
    x = 302,472.33

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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.