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Finding the Fourth Proportional to 273,599.89, 411,022.61 and 197,931.82

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Solution

The fourth proportional to 273,599.89, 411,022.61 and 197,931.82 is: 297,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,599.89 : 411,022.61 = 197,931.82 : x
  2. Step 2: Convert to fraction form
    273,599.89/411,022.61 = 197,931.82/x
  3. Step 3: Cross multiply
    273,599.89x = 411,022.61 × 197,931.82
  4. Step 4: Simplify right side
    273,599.89x = 81,354,453,258.45
  5. Step 5: Solve for x
    x = 81,354,453,258.45/273,599.89
  6. Step 6: Final answer
    x = 297,348.27

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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.