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Finding the Fourth Proportional to 294,640.56, 406,604.04 and 160,504.56

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Solution

The fourth proportional to 294,640.56, 406,604.04 and 160,504.56 is: 221,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,640.56 : 406,604.04 = 160,504.56 : x
  2. Step 2: Convert to fraction form
    294,640.56/406,604.04 = 160,504.56/x
  3. Step 3: Cross multiply
    294,640.56x = 406,604.04 × 160,504.56
  4. Step 4: Simplify right side
    294,640.56x = 65,261,802,534.42
  5. Step 5: Solve for x
    x = 65,261,802,534.42/294,640.56
  6. Step 6: Final answer
    x = 221,496.33

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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.