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Finding the Fourth Proportional to 409,894.17, 565,654.96 and 228,617.84

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Solution

The fourth proportional to 409,894.17, 565,654.96 and 228,617.84 is: 315,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.17 : 565,654.96 = 228,617.84 : x
  2. Step 2: Convert to fraction form
    409,894.17/565,654.96 = 228,617.84/x
  3. Step 3: Cross multiply
    409,894.17x = 565,654.96 × 228,617.84
  4. Step 4: Simplify right side
    409,894.17x = 129,318,815,983.08
  5. Step 5: Solve for x
    x = 129,318,815,983.08/409,894.17
  6. Step 6: Final answer
    x = 315,493.18

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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.