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Finding the Fourth Proportional to 432,563.68, 596,936 and 238,971.39

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Solution

The fourth proportional to 432,563.68, 596,936 and 238,971.39 is: 329,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,563.68 : 596,936 = 238,971.39 : x
  2. Step 2: Convert to fraction form
    432,563.68/596,936 = 238,971.39/x
  3. Step 3: Cross multiply
    432,563.68x = 596,936 × 238,971.39
  4. Step 4: Simplify right side
    432,563.68x = 142,650,622,676.36
  5. Step 5: Solve for x
    x = 142,650,622,676.36/432,563.68
  6. Step 6: Final answer
    x = 329,779.47

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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.