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Finding the Fourth Proportional to 418,473, 627,985.98 and 196,874.28

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Solution

The fourth proportional to 418,473, 627,985.98 and 196,874.28 is: 295,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,473 : 627,985.98 = 196,874.28 : x
  2. Step 2: Convert to fraction form
    418,473/627,985.98 = 196,874.28/x
  3. Step 3: Cross multiply
    418,473x = 627,985.98 × 196,874.28
  4. Step 4: Simplify right side
    418,473x = 123,634,287,662.59
  5. Step 5: Solve for x
    x = 123,634,287,662.59/418,473
  6. Step 6: Final answer
    x = 295,441.49

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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.