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Finding the Fourth Proportional to 418,684.94, 627,743.13 and 213,014.09

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Solution

The fourth proportional to 418,684.94, 627,743.13 and 213,014.09 is: 319,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,684.94 : 627,743.13 = 213,014.09 : x
  2. Step 2: Convert to fraction form
    418,684.94/627,743.13 = 213,014.09/x
  3. Step 3: Cross multiply
    418,684.94x = 627,743.13 × 213,014.09
  4. Step 4: Simplify right side
    418,684.94x = 133,718,131,590.70
  5. Step 5: Solve for x
    x = 133,718,131,590.70/418,684.94
  6. Step 6: Final answer
    x = 319,376.50

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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.