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Finding the Fourth Proportional to 340,753.59, 470,243.16 and 187,797.38

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Solution

The fourth proportional to 340,753.59, 470,243.16 and 187,797.38 is: 259,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,753.59 : 470,243.16 = 187,797.38 : x
  2. Step 2: Convert to fraction form
    340,753.59/470,243.16 = 187,797.38/x
  3. Step 3: Cross multiply
    340,753.59x = 470,243.16 × 187,797.38
  4. Step 4: Simplify right side
    340,753.59x = 88,310,431,059.71
  5. Step 5: Solve for x
    x = 88,310,431,059.71/340,753.59
  6. Step 6: Final answer
    x = 259,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.