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Finding the Fourth Proportional to 293,070.56, 404,459.11 and 164,021.96

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Solution

The fourth proportional to 293,070.56, 404,459.11 and 164,021.96 is: 226,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,070.56 : 404,459.11 = 164,021.96 : x
  2. Step 2: Convert to fraction form
    293,070.56/404,459.11 = 164,021.96/x
  3. Step 3: Cross multiply
    293,070.56x = 404,459.11 × 164,021.96
  4. Step 4: Simplify right side
    293,070.56x = 66,340,175,141.95
  5. Step 5: Solve for x
    x = 66,340,175,141.95/293,070.56
  6. Step 6: Final answer
    x = 226,362.47

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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.