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Finding the Fourth Proportional to 590,058, 885,090.24 and 146,826

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Solution

The fourth proportional to 590,058, 885,090.24 and 146,826 is: 220,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,058 : 885,090.24 = 146,826 : x
  2. Step 2: Convert to fraction form
    590,058/885,090.24 = 146,826/x
  3. Step 3: Cross multiply
    590,058x = 885,090.24 × 146,826
  4. Step 4: Simplify right side
    590,058x = 129,954,259,578.24
  5. Step 5: Solve for x
    x = 129,954,259,578.24/590,058
  6. Step 6: Final answer
    x = 220,239.81

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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.