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Finding the Fourth Proportional to 309,670.26, 464,935.50 and 160,021.14

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Solution

The fourth proportional to 309,670.26, 464,935.50 and 160,021.14 is: 240,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,670.26 : 464,935.50 = 160,021.14 : x
  2. Step 2: Convert to fraction form
    309,670.26/464,935.50 = 160,021.14/x
  3. Step 3: Cross multiply
    309,670.26x = 464,935.50 × 160,021.14
  4. Step 4: Simplify right side
    309,670.26x = 74,399,508,736.47
  5. Step 5: Solve for x
    x = 74,399,508,736.47/309,670.26
  6. Step 6: Final answer
    x = 240,253.97

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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.