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Finding the Fourth Proportional to 410,739.69, 616,341.50 and 221,196.05

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Solution

The fourth proportional to 410,739.69, 616,341.50 and 221,196.05 is: 331,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,739.69 : 616,341.50 = 221,196.05 : x
  2. Step 2: Convert to fraction form
    410,739.69/616,341.50 = 221,196.05/x
  3. Step 3: Cross multiply
    410,739.69x = 616,341.50 × 221,196.05
  4. Step 4: Simplify right side
    410,739.69x = 136,332,305,448.38
  5. Step 5: Solve for x
    x = 136,332,305,448.38/410,739.69
  6. Step 6: Final answer
    x = 331,918.99

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