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Finding the Fourth Proportional to 617,089.24, 851,662.02 and 345,172.24

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Solution

The fourth proportional to 617,089.24, 851,662.02 and 345,172.24 is: 476,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,089.24 : 851,662.02 = 345,172.24 : x
  2. Step 2: Convert to fraction form
    617,089.24/851,662.02 = 345,172.24/x
  3. Step 3: Cross multiply
    617,089.24x = 851,662.02 × 345,172.24
  4. Step 4: Simplify right side
    617,089.24x = 293,970,087,166.33
  5. Step 5: Solve for x
    x = 293,970,087,166.33/617,089.24
  6. Step 6: Final answer
    x = 476,381.81

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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.