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Finding the Fourth Proportional to 344,294.40, 516,441.96 and 107,638.32

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Solution

The fourth proportional to 344,294.40, 516,441.96 and 107,638.32 is: 161,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,294.40 : 516,441.96 = 107,638.32 : x
  2. Step 2: Convert to fraction form
    344,294.40/516,441.96 = 107,638.32/x
  3. Step 3: Cross multiply
    344,294.40x = 516,441.96 × 107,638.32
  4. Step 4: Simplify right side
    344,294.40x = 55,588,944,951.91
  5. Step 5: Solve for x
    x = 55,588,944,951.91/344,294.40
  6. Step 6: Final answer
    x = 161,457.59

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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.