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Finding the Fourth Proportional to 412,058.43, 620,895.44 and 338,819.24

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Solution

The fourth proportional to 412,058.43, 620,895.44 and 338,819.24 is: 510,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,058.43 : 620,895.44 = 338,819.24 : x
  2. Step 2: Convert to fraction form
    412,058.43/620,895.44 = 338,819.24/x
  3. Step 3: Cross multiply
    412,058.43x = 620,895.44 × 338,819.24
  4. Step 4: Simplify right side
    412,058.43x = 210,371,316,301.69
  5. Step 5: Solve for x
    x = 210,371,316,301.69/412,058.43
  6. Step 6: Final answer
    x = 510,537.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.