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Finding the Fourth Proportional to 414,168.23, 571,599.21 and 230,424.98

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Solution

The fourth proportional to 414,168.23, 571,599.21 and 230,424.98 is: 318,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,168.23 : 571,599.21 = 230,424.98 : x
  2. Step 2: Convert to fraction form
    414,168.23/571,599.21 = 230,424.98/x
  3. Step 3: Cross multiply
    414,168.23x = 571,599.21 × 230,424.98
  4. Step 4: Simplify right side
    414,168.23x = 131,710,736,532.27
  5. Step 5: Solve for x
    x = 131,710,736,532.27/414,168.23
  6. Step 6: Final answer
    x = 318,012.65

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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.