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Finding the Fourth Proportional to 344,221.23, 516,010.83 and 116,358.31

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Solution

The fourth proportional to 344,221.23, 516,010.83 and 116,358.31 is: 174,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,221.23 : 516,010.83 = 116,358.31 : x
  2. Step 2: Convert to fraction form
    344,221.23/516,010.83 = 116,358.31/x
  3. Step 3: Cross multiply
    344,221.23x = 516,010.83 × 116,358.31
  4. Step 4: Simplify right side
    344,221.23x = 60,042,148,120.50
  5. Step 5: Solve for x
    x = 60,042,148,120.50/344,221.23
  6. Step 6: Final answer
    x = 174,428.95

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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.