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Finding the Fourth Proportional to 397,299.60, 595,949.40 and 210,675.60

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Solution

The fourth proportional to 397,299.60, 595,949.40 and 210,675.60 is: 316,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,299.60 : 595,949.40 = 210,675.60 : x
  2. Step 2: Convert to fraction form
    397,299.60/595,949.40 = 210,675.60/x
  3. Step 3: Cross multiply
    397,299.60x = 595,949.40 × 210,675.60
  4. Step 4: Simplify right side
    397,299.60x = 125,551,997,414.64
  5. Step 5: Solve for x
    x = 125,551,997,414.64/397,299.60
  6. Step 6: Final answer
    x = 316,013.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.