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Finding the Fourth Proportional to 460,771.79, 691,469.06 and 161,254.98

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Solution

The fourth proportional to 460,771.79, 691,469.06 and 161,254.98 is: 241,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,771.79 : 691,469.06 = 161,254.98 : x
  2. Step 2: Convert to fraction form
    460,771.79/691,469.06 = 161,254.98/x
  3. Step 3: Cross multiply
    460,771.79x = 691,469.06 × 161,254.98
  4. Step 4: Simplify right side
    460,771.79x = 111,502,828,634.64
  5. Step 5: Solve for x
    x = 111,502,828,634.64/460,771.79
  6. Step 6: Final answer
    x = 241,991.44

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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.