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Finding the Fourth Proportional to 344,098.77, 516,142.69 and 84,439.17

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Solution

The fourth proportional to 344,098.77, 516,142.69 and 84,439.17 is: 126,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,098.77 : 516,142.69 = 84,439.17 : x
  2. Step 2: Convert to fraction form
    344,098.77/516,142.69 = 84,439.17/x
  3. Step 3: Cross multiply
    344,098.77x = 516,142.69 × 84,439.17
  4. Step 4: Simplify right side
    344,098.77x = 43,582,657,653.05
  5. Step 5: Solve for x
    x = 43,582,657,653.05/344,098.77
  6. Step 6: Final answer
    x = 126,657.41

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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.