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Finding the Fourth Proportional to 475,309.89, 655,682.31 and 322,296.30

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Solution

The fourth proportional to 475,309.89, 655,682.31 and 322,296.30 is: 444,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,309.89 : 655,682.31 = 322,296.30 : x
  2. Step 2: Convert to fraction form
    475,309.89/655,682.31 = 322,296.30/x
  3. Step 3: Cross multiply
    475,309.89x = 655,682.31 × 322,296.30
  4. Step 4: Simplify right side
    475,309.89x = 211,323,982,488.45
  5. Step 5: Solve for x
    x = 211,323,982,488.45/475,309.89
  6. Step 6: Final answer
    x = 444,602.54

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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.