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Finding the Fourth Proportional to 414,339.84, 571,839.66 and 233,059.38

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Solution

The fourth proportional to 414,339.84, 571,839.66 and 233,059.38 is: 321,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,339.84 : 571,839.66 = 233,059.38 : x
  2. Step 2: Convert to fraction form
    414,339.84/571,839.66 = 233,059.38/x
  3. Step 3: Cross multiply
    414,339.84x = 571,839.66 × 233,059.38
  4. Step 4: Simplify right side
    414,339.84x = 133,272,596,619.01
  5. Step 5: Solve for x
    x = 133,272,596,619.01/414,339.84
  6. Step 6: Final answer
    x = 321,650.45

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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.