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Finding the Fourth Proportional to 309,817.36, 464,133.57 and 209,485.09

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Solution

The fourth proportional to 309,817.36, 464,133.57 and 209,485.09 is: 313,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,817.36 : 464,133.57 = 209,485.09 : x
  2. Step 2: Convert to fraction form
    309,817.36/464,133.57 = 209,485.09/x
  3. Step 3: Cross multiply
    309,817.36x = 464,133.57 × 209,485.09
  4. Step 4: Simplify right side
    309,817.36x = 97,229,062,683.47
  5. Step 5: Solve for x
    x = 97,229,062,683.47/309,817.36
  6. Step 6: Final answer
    x = 313,827.03

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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.