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Finding the Fourth Proportional to 418,991.38, 578,220.18 and 228,016.88

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Solution

The fourth proportional to 418,991.38, 578,220.18 and 228,016.88 is: 314,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,991.38 : 578,220.18 = 228,016.88 : x
  2. Step 2: Convert to fraction form
    418,991.38/578,220.18 = 228,016.88/x
  3. Step 3: Cross multiply
    418,991.38x = 578,220.18 × 228,016.88
  4. Step 4: Simplify right side
    418,991.38x = 131,843,961,396.64
  5. Step 5: Solve for x
    x = 131,843,961,396.64/418,991.38
  6. Step 6: Final answer
    x = 314,669.87

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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.