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Finding the Fourth Proportional to 464,895.38, 641,571.69 and 258,167.25

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Solution

The fourth proportional to 464,895.38, 641,571.69 and 258,167.25 is: 356,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,895.38 : 641,571.69 = 258,167.25 : x
  2. Step 2: Convert to fraction form
    464,895.38/641,571.69 = 258,167.25/x
  3. Step 3: Cross multiply
    464,895.38x = 641,571.69 × 258,167.25
  4. Step 4: Simplify right side
    464,895.38x = 165,632,798,885.15
  5. Step 5: Solve for x
    x = 165,632,798,885.15/464,895.38
  6. Step 6: Final answer
    x = 356,279.72

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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.