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Finding the Fourth Proportional to 414,245.38, 571,653.18 and 232,957.26

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Solution

The fourth proportional to 414,245.38, 571,653.18 and 232,957.26 is: 321,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,245.38 : 571,653.18 = 232,957.26 : x
  2. Step 2: Convert to fraction form
    414,245.38/571,653.18 = 232,957.26/x
  3. Step 3: Cross multiply
    414,245.38x = 571,653.18 × 232,957.26
  4. Step 4: Simplify right side
    414,245.38x = 133,170,758,483.09
  5. Step 5: Solve for x
    x = 133,170,758,483.09/414,245.38
  6. Step 6: Final answer
    x = 321,477.96

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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.