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Finding the Fourth Proportional to 410,094.90, 565,930.17 and 228,796.04

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Solution

The fourth proportional to 410,094.90, 565,930.17 and 228,796.04 is: 315,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,094.90 : 565,930.17 = 228,796.04 : x
  2. Step 2: Convert to fraction form
    410,094.90/565,930.17 = 228,796.04/x
  3. Step 3: Cross multiply
    410,094.90x = 565,930.17 × 228,796.04
  4. Step 4: Simplify right side
    410,094.90x = 129,482,578,982.88
  5. Step 5: Solve for x
    x = 129,482,578,982.88/410,094.90
  6. Step 6: Final answer
    x = 315,738.09

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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.