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Finding the Fourth Proportional to 344,296.90, 516,445.71 and 107,640.82

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Solution

The fourth proportional to 344,296.90, 516,445.71 and 107,640.82 is: 161,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,296.90 : 516,445.71 = 107,640.82 : x
  2. Step 2: Convert to fraction form
    344,296.90/516,445.71 = 107,640.82/x
  3. Step 3: Cross multiply
    344,296.90x = 516,445.71 × 107,640.82
  4. Step 4: Simplify right side
    344,296.90x = 55,590,639,709.88
  5. Step 5: Solve for x
    x = 55,590,639,709.88/344,296.90
  6. Step 6: Final answer
    x = 161,461.34

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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.