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Finding the Fourth Proportional to 297,459, 410,341.24 and 189,915.96

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Solution

The fourth proportional to 297,459, 410,341.24 and 189,915.96 is: 261,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,459 : 410,341.24 = 189,915.96 : x
  2. Step 2: Convert to fraction form
    297,459/410,341.24 = 189,915.96/x
  3. Step 3: Cross multiply
    297,459x = 410,341.24 × 189,915.96
  4. Step 4: Simplify right side
    297,459x = 77,930,350,522.19
  5. Step 5: Solve for x
    x = 77,930,350,522.19/297,459
  6. Step 6: Final answer
    x = 261,986.86

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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.