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Finding the Fourth Proportional to 413,802, 571,047.30 and 234,954

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Solution

The fourth proportional to 413,802, 571,047.30 and 234,954 is: 324,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,802 : 571,047.30 = 234,954 : x
  2. Step 2: Convert to fraction form
    413,802/571,047.30 = 234,954/x
  3. Step 3: Cross multiply
    413,802x = 571,047.30 × 234,954
  4. Step 4: Simplify right side
    413,802x = 134,169,847,324.20
  5. Step 5: Solve for x
    x = 134,169,847,324.20/413,802
  6. Step 6: Final answer
    x = 324,236.83

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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.