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Finding the Fourth Proportional to 418,602.70, 628,049.85 and 182,115.10

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Solution

The fourth proportional to 418,602.70, 628,049.85 and 182,115.10 is: 273,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,602.70 : 628,049.85 = 182,115.10 : x
  2. Step 2: Convert to fraction form
    418,602.70/628,049.85 = 182,115.10/x
  3. Step 3: Cross multiply
    418,602.70x = 628,049.85 × 182,115.10
  4. Step 4: Simplify right side
    418,602.70x = 114,377,361,237.74
  5. Step 5: Solve for x
    x = 114,377,361,237.74/418,602.70
  6. Step 6: Final answer
    x = 273,236.08

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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.