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Finding the Fourth Proportional to 230,577.32, 343,573.80 and 205,424.08

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Solution

The fourth proportional to 230,577.32, 343,573.80 and 205,424.08 is: 306,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,577.32 : 343,573.80 = 205,424.08 : x
  2. Step 2: Convert to fraction form
    230,577.32/343,573.80 = 205,424.08/x
  3. Step 3: Cross multiply
    230,577.32x = 343,573.80 × 205,424.08
  4. Step 4: Simplify right side
    230,577.32x = 70,578,331,777.10
  5. Step 5: Solve for x
    x = 70,578,331,777.10/230,577.32
  6. Step 6: Final answer
    x = 306,093.99

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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.