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Finding the Fourth Proportional to 435,876.82, 601,581.36 and 363,164.38

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Solution

The fourth proportional to 435,876.82, 601,581.36 and 363,164.38 is: 501,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,876.82 : 601,581.36 = 363,164.38 : x
  2. Step 2: Convert to fraction form
    435,876.82/601,581.36 = 363,164.38/x
  3. Step 3: Cross multiply
    435,876.82x = 601,581.36 × 363,164.38
  4. Step 4: Simplify right side
    435,876.82x = 218,472,921,623.96
  5. Step 5: Solve for x
    x = 218,472,921,623.96/435,876.82
  6. Step 6: Final answer
    x = 501,226.29

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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.