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Finding the Fourth Proportional to 264,532.23, 364,805.81 and 204,007

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Solution

The fourth proportional to 264,532.23, 364,805.81 and 204,007 is: 281,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,532.23 : 364,805.81 = 204,007 : x
  2. Step 2: Convert to fraction form
    264,532.23/364,805.81 = 204,007/x
  3. Step 3: Cross multiply
    264,532.23x = 364,805.81 × 204,007
  4. Step 4: Simplify right side
    264,532.23x = 74,422,937,860.64
  5. Step 5: Solve for x
    x = 74,422,937,860.64/264,532.23
  6. Step 6: Final answer
    x = 281,337.89

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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.