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Finding the Fourth Proportional to 409,422.89, 565,005.90 and 237,442.88

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Solution

The fourth proportional to 409,422.89, 565,005.90 and 237,442.88 is: 327,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,422.89 : 565,005.90 = 237,442.88 : x
  2. Step 2: Convert to fraction form
    409,422.89/565,005.90 = 237,442.88/x
  3. Step 3: Cross multiply
    409,422.89x = 565,005.90 × 237,442.88
  4. Step 4: Simplify right side
    409,422.89x = 134,156,625,287.96
  5. Step 5: Solve for x
    x = 134,156,625,287.96/409,422.89
  6. Step 6: Final answer
    x = 327,672.51

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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.