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Finding the Fourth Proportional to 617,092.26, 851,666.16 and 345,175.26

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Solution

The fourth proportional to 617,092.26, 851,666.16 and 345,175.26 is: 476,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,092.26 : 851,666.16 = 345,175.26 : x
  2. Step 2: Convert to fraction form
    617,092.26/851,666.16 = 345,175.26/x
  3. Step 3: Cross multiply
    617,092.26x = 851,666.16 × 345,175.26
  4. Step 4: Simplify right side
    617,092.26x = 293,974,088,211.20
  5. Step 5: Solve for x
    x = 293,974,088,211.20/617,092.26
  6. Step 6: Final answer
    x = 476,385.96

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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.