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Finding the Fourth Proportional to 323,663.61, 446,847.12 and 287,754.21

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Solution

The fourth proportional to 323,663.61, 446,847.12 and 287,754.21 is: 397,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,663.61 : 446,847.12 = 287,754.21 : x
  2. Step 2: Convert to fraction form
    323,663.61/446,847.12 = 287,754.21/x
  3. Step 3: Cross multiply
    323,663.61x = 446,847.12 × 287,754.21
  4. Step 4: Simplify right side
    323,663.61x = 128,582,140,006.38
  5. Step 5: Solve for x
    x = 128,582,140,006.38/323,663.61
  6. Step 6: Final answer
    x = 397,270.92

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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.