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Finding the Fourth Proportional to 590,446, 814,815.48 and 322,174

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Solution

The fourth proportional to 590,446, 814,815.48 and 322,174 is: 444,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,446 : 814,815.48 = 322,174 : x
  2. Step 2: Convert to fraction form
    590,446/814,815.48 = 322,174/x
  3. Step 3: Cross multiply
    590,446x = 814,815.48 × 322,174
  4. Step 4: Simplify right side
    590,446x = 262,512,362,453.52
  5. Step 5: Solve for x
    x = 262,512,362,453.52/590,446
  6. Step 6: Final answer
    x = 444,600.12

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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.