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Finding the Fourth Proportional to 609,525.94, 914,349 and 210,114.13

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Solution

The fourth proportional to 609,525.94, 914,349 and 210,114.13 is: 315,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,525.94 : 914,349 = 210,114.13 : x
  2. Step 2: Convert to fraction form
    609,525.94/914,349 = 210,114.13/x
  3. Step 3: Cross multiply
    609,525.94x = 914,349 × 210,114.13
  4. Step 4: Simplify right side
    609,525.94x = 192,117,644,651.37
  5. Step 5: Solve for x
    x = 192,117,644,651.37/609,525.94
  6. Step 6: Final answer
    x = 315,191.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.