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Finding the Fourth Proportional to 313,204.17, 432,222.89 and 169,964.17

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Solution

The fourth proportional to 313,204.17, 432,222.89 and 169,964.17 is: 234,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,204.17 : 432,222.89 = 169,964.17 : x
  2. Step 2: Convert to fraction form
    313,204.17/432,222.89 = 169,964.17/x
  3. Step 3: Cross multiply
    313,204.17x = 432,222.89 × 169,964.17
  4. Step 4: Simplify right side
    313,204.17x = 73,462,405,254.73
  5. Step 5: Solve for x
    x = 73,462,405,254.73/313,204.17
  6. Step 6: Final answer
    x = 234,551.17

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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.