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Finding the Fourth Proportional to 413,918.56, 571,107.81 and 241,738.77

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Solution

The fourth proportional to 413,918.56, 571,107.81 and 241,738.77 is: 333,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,918.56 : 571,107.81 = 241,738.77 : x
  2. Step 2: Convert to fraction form
    413,918.56/571,107.81 = 241,738.77/x
  3. Step 3: Cross multiply
    413,918.56x = 571,107.81 × 241,738.77
  4. Step 4: Simplify right side
    413,918.56x = 138,058,899,526.79
  5. Step 5: Solve for x
    x = 138,058,899,526.79/413,918.56
  6. Step 6: Final answer
    x = 333,541.22

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