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Finding the Fourth Proportional to 402,721.44, 555,769.86 and 221,447.16

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Solution

The fourth proportional to 402,721.44, 555,769.86 and 221,447.16 is: 305,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,721.44 : 555,769.86 = 221,447.16 : x
  2. Step 2: Convert to fraction form
    402,721.44/555,769.86 = 221,447.16/x
  3. Step 3: Cross multiply
    402,721.44x = 555,769.86 × 221,447.16
  4. Step 4: Simplify right side
    402,721.44x = 123,073,657,110.60
  5. Step 5: Solve for x
    x = 123,073,657,110.60/402,721.44
  6. Step 6: Final answer
    x = 305,604.93

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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.