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Finding the Fourth Proportional to 418,218.30, 627,339.74 and 102,675.20

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Solution

The fourth proportional to 418,218.30, 627,339.74 and 102,675.20 is: 154,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,218.30 : 627,339.74 = 102,675.20 : x
  2. Step 2: Convert to fraction form
    418,218.30/627,339.74 = 102,675.20/x
  3. Step 3: Cross multiply
    418,218.30x = 627,339.74 × 102,675.20
  4. Step 4: Simplify right side
    418,218.30x = 64,412,229,622.37
  5. Step 5: Solve for x
    x = 64,412,229,622.37/418,218.30
  6. Step 6: Final answer
    x = 154,015.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.