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Finding the Fourth Proportional to 447,721.38, 617,899.10 and 334,347.30

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Solution

The fourth proportional to 447,721.38, 617,899.10 and 334,347.30 is: 461,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,721.38 : 617,899.10 = 334,347.30 : x
  2. Step 2: Convert to fraction form
    447,721.38/617,899.10 = 334,347.30/x
  3. Step 3: Cross multiply
    447,721.38x = 617,899.10 × 334,347.30
  4. Step 4: Simplify right side
    447,721.38x = 206,592,894,085.69
  5. Step 5: Solve for x
    x = 206,592,894,085.69/447,721.38
  6. Step 6: Final answer
    x = 461,431.83

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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.