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Finding the Fourth Proportional to 400,954.74, 601,359.43 and 161,058.98

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Solution

The fourth proportional to 400,954.74, 601,359.43 and 161,058.98 is: 241,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,954.74 : 601,359.43 = 161,058.98 : x
  2. Step 2: Convert to fraction form
    400,954.74/601,359.43 = 161,058.98/x
  3. Step 3: Cross multiply
    400,954.74x = 601,359.43 × 161,058.98
  4. Step 4: Simplify right side
    400,954.74x = 96,854,336,409.18
  5. Step 5: Solve for x
    x = 96,854,336,409.18/400,954.74
  6. Step 6: Final answer
    x = 241,559.28

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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.