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Finding the Fourth Proportional to 414,252.55, 571,601.88 and 232,953.69

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Solution

The fourth proportional to 414,252.55, 571,601.88 and 232,953.69 is: 321,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,252.55 : 571,601.88 = 232,953.69 : x
  2. Step 2: Convert to fraction form
    414,252.55/571,601.88 = 232,953.69/x
  3. Step 3: Cross multiply
    414,252.55x = 571,601.88 × 232,953.69
  4. Step 4: Simplify right side
    414,252.55x = 133,156,769,300.44
  5. Step 5: Solve for x
    x = 133,156,769,300.44/414,252.55
  6. Step 6: Final answer
    x = 321,438.62

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Why These Related Problems?

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