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Finding the Fourth Proportional to 410,251.84, 566,175.96 and 228,999.04

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Solution

The fourth proportional to 410,251.84, 566,175.96 and 228,999.04 is: 316,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,251.84 : 566,175.96 = 228,999.04 : x
  2. Step 2: Convert to fraction form
    410,251.84/566,175.96 = 228,999.04/x
  3. Step 3: Cross multiply
    410,251.84x = 566,175.96 × 228,999.04
  4. Step 4: Simplify right side
    410,251.84x = 129,653,751,311.08
  5. Step 5: Solve for x
    x = 129,653,751,311.08/410,251.84
  6. Step 6: Final answer
    x = 316,034.54

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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.