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Finding the Fourth Proportional to 340,443, 469,825.92 and 189,540

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Solution

The fourth proportional to 340,443, 469,825.92 and 189,540 is: 261,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,443 : 469,825.92 = 189,540 : x
  2. Step 2: Convert to fraction form
    340,443/469,825.92 = 189,540/x
  3. Step 3: Cross multiply
    340,443x = 469,825.92 × 189,540
  4. Step 4: Simplify right side
    340,443x = 89,050,804,876.80
  5. Step 5: Solve for x
    x = 89,050,804,876.80/340,443
  6. Step 6: Final answer
    x = 261,573.32

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