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Finding the Fourth Proportional to 402,410.34, 555,326.12 and 221,133.96

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Solution

The fourth proportional to 402,410.34, 555,326.12 and 221,133.96 is: 305,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.34 : 555,326.12 = 221,133.96 : x
  2. Step 2: Convert to fraction form
    402,410.34/555,326.12 = 221,133.96/x
  3. Step 3: Cross multiply
    402,410.34x = 555,326.12 × 221,133.96
  4. Step 4: Simplify right side
    402,410.34x = 122,801,464,007.04
  5. Step 5: Solve for x
    x = 122,801,464,007.04/402,410.34
  6. Step 6: Final answer
    x = 305,164.78

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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.