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Finding the Fourth Proportional to 230,578.32, 343,575.29 and 205,425.08

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Solution

The fourth proportional to 230,578.32, 343,575.29 and 205,425.08 is: 306,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,578.32 : 343,575.29 = 205,425.08 : x
  2. Step 2: Convert to fraction form
    230,578.32/343,575.29 = 205,425.08/x
  3. Step 3: Cross multiply
    230,578.32x = 343,575.29 × 205,425.08
  4. Step 4: Simplify right side
    230,578.32x = 70,578,978,689.27
  5. Step 5: Solve for x
    x = 70,578,978,689.27/230,578.32
  6. Step 6: Final answer
    x = 306,095.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.