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Finding the Fourth Proportional to 468,090.65, 702,167.43 and 164,447.89

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Solution

The fourth proportional to 468,090.65, 702,167.43 and 164,447.89 is: 246,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,090.65 : 702,167.43 = 164,447.89 : x
  2. Step 2: Convert to fraction form
    468,090.65/702,167.43 = 164,447.89/x
  3. Step 3: Cross multiply
    468,090.65x = 702,167.43 × 164,447.89
  4. Step 4: Simplify right side
    468,090.65x = 115,469,950,534.80
  5. Step 5: Solve for x
    x = 115,469,950,534.80/468,090.65
  6. Step 6: Final answer
    x = 246,682.88

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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.