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Finding the Fourth Proportional to 344,748.96, 475,419.24 and 230,032.26

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Solution

The fourth proportional to 344,748.96, 475,419.24 and 230,032.26 is: 317,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,748.96 : 475,419.24 = 230,032.26 : x
  2. Step 2: Convert to fraction form
    344,748.96/475,419.24 = 230,032.26/x
  3. Step 3: Cross multiply
    344,748.96x = 475,419.24 × 230,032.26
  4. Step 4: Simplify right side
    344,748.96x = 109,361,762,224.68
  5. Step 5: Solve for x
    x = 109,361,762,224.68/344,748.96
  6. Step 6: Final answer
    x = 317,221.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.