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Finding the Fourth Proportional to 414,469.87, 571,927.71 and 233,177.90

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Solution

The fourth proportional to 414,469.87, 571,927.71 and 233,177.90 is: 321,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.87 : 571,927.71 = 233,177.90 : x
  2. Step 2: Convert to fraction form
    414,469.87/571,927.71 = 233,177.90/x
  3. Step 3: Cross multiply
    414,469.87x = 571,927.71 × 233,177.90
  4. Step 4: Simplify right side
    414,469.87x = 133,360,902,369.61
  5. Step 5: Solve for x
    x = 133,360,902,369.61/414,469.87
  6. Step 6: Final answer
    x = 321,762.60

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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.