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Finding the Fourth Proportional to 418,173.21, 627,185.79 and 190,416.60

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Solution

The fourth proportional to 418,173.21, 627,185.79 and 190,416.60 is: 285,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,173.21 : 627,185.79 = 190,416.60 : x
  2. Step 2: Convert to fraction form
    418,173.21/627,185.79 = 190,416.60/x
  3. Step 3: Cross multiply
    418,173.21x = 627,185.79 × 190,416.60
  4. Step 4: Simplify right side
    418,173.21x = 119,426,585,700.11
  5. Step 5: Solve for x
    x = 119,426,585,700.11/418,173.21
  6. Step 6: Final answer
    x = 285,591.19

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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.