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Finding the Fourth Proportional to 284,799.57, 427,199.73 and 116,319.88

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Solution

The fourth proportional to 284,799.57, 427,199.73 and 116,319.88 is: 174,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,799.57 : 427,199.73 = 116,319.88 : x
  2. Step 2: Convert to fraction form
    284,799.57/427,199.73 = 116,319.88/x
  3. Step 3: Cross multiply
    284,799.57x = 427,199.73 × 116,319.88
  4. Step 4: Simplify right side
    284,799.57x = 49,691,821,329.63
  5. Step 5: Solve for x
    x = 49,691,821,329.63/284,799.57
  6. Step 6: Final answer
    x = 174,479.97

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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.