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Finding the Fourth Proportional to 344,473.12, 516,430.86 and 107,693.92

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Solution

The fourth proportional to 344,473.12, 516,430.86 and 107,693.92 is: 161,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,473.12 : 516,430.86 = 107,693.92 : x
  2. Step 2: Convert to fraction form
    344,473.12/516,430.86 = 107,693.92/x
  3. Step 3: Cross multiply
    344,473.12x = 516,430.86 × 107,693.92
  4. Step 4: Simplify right side
    344,473.12x = 55,616,463,722.37
  5. Step 5: Solve for x
    x = 55,616,463,722.37/344,473.12
  6. Step 6: Final answer
    x = 161,453.71

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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.