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Finding the Fourth Proportional to 340,575.11, 470,008.23 and 189,672.11

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Solution

The fourth proportional to 340,575.11, 470,008.23 and 189,672.11 is: 261,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,575.11 : 470,008.23 = 189,672.11 : x
  2. Step 2: Convert to fraction form
    340,575.11/470,008.23 = 189,672.11/x
  3. Step 3: Cross multiply
    340,575.11x = 470,008.23 × 189,672.11
  4. Step 4: Simplify right side
    340,575.11x = 89,147,452,701.47
  5. Step 5: Solve for x
    x = 89,147,452,701.47/340,575.11
  6. Step 6: Final answer
    x = 261,755.63

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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.