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Finding the Fourth Proportional to 323,875.28, 446,803.34 and 187,830.38

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Solution

The fourth proportional to 323,875.28, 446,803.34 and 187,830.38 is: 259,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,875.28 : 446,803.34 = 187,830.38 : x
  2. Step 2: Convert to fraction form
    323,875.28/446,803.34 = 187,830.38/x
  3. Step 3: Cross multiply
    323,875.28x = 446,803.34 × 187,830.38
  4. Step 4: Simplify right side
    323,875.28x = 83,923,237,964.30
  5. Step 5: Solve for x
    x = 83,923,237,964.30/323,875.28
  6. Step 6: Final answer
    x = 259,122.09

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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.