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Finding the Fourth Proportional to 230,577.82, 343,574.54 and 205,424.58

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Solution

The fourth proportional to 230,577.82, 343,574.54 and 205,424.58 is: 306,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,577.82 : 343,574.54 = 205,424.58 : x
  2. Step 2: Convert to fraction form
    230,577.82/343,574.54 = 205,424.58/x
  3. Step 3: Cross multiply
    230,577.82x = 343,574.54 × 205,424.58
  4. Step 4: Simplify right side
    230,577.82x = 70,578,655,578.19
  5. Step 5: Solve for x
    x = 70,578,655,578.19/230,577.82
  6. Step 6: Final answer
    x = 306,094.73

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Why These Related Problems?

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