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Finding the Fourth Proportional to 432,773.73, 597,256.02 and 287,351.82

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Solution

The fourth proportional to 432,773.73, 597,256.02 and 287,351.82 is: 396,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,773.73 : 597,256.02 = 287,351.82 : x
  2. Step 2: Convert to fraction form
    432,773.73/597,256.02 = 287,351.82/x
  3. Step 3: Cross multiply
    432,773.73x = 597,256.02 × 287,351.82
  4. Step 4: Simplify right side
    432,773.73x = 171,622,604,683.96
  5. Step 5: Solve for x
    x = 171,622,604,683.96/432,773.73
  6. Step 6: Final answer
    x = 396,564.29

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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.