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Finding the Fourth Proportional to 617,085.24, 851,656.50 and 345,168.24

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Solution

The fourth proportional to 617,085.24, 851,656.50 and 345,168.24 is: 476,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,085.24 : 851,656.50 = 345,168.24 : x
  2. Step 2: Convert to fraction form
    617,085.24/851,656.50 = 345,168.24/x
  3. Step 3: Cross multiply
    617,085.24x = 851,656.50 × 345,168.24
  4. Step 4: Simplify right side
    617,085.24x = 293,964,775,189.56
  5. Step 5: Solve for x
    x = 293,964,775,189.56/617,085.24
  6. Step 6: Final answer
    x = 476,376.29

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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.