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Finding the Fourth Proportional to 592,702, 889,131.12 and 193,202.80

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Solution

The fourth proportional to 592,702, 889,131.12 and 193,202.80 is: 289,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,702 : 889,131.12 = 193,202.80 : x
  2. Step 2: Convert to fraction form
    592,702/889,131.12 = 193,202.80/x
  3. Step 3: Cross multiply
    592,702x = 889,131.12 × 193,202.80
  4. Step 4: Simplify right side
    592,702x = 171,782,621,951.14
  5. Step 5: Solve for x
    x = 171,782,621,951.14/592,702
  6. Step 6: Final answer
    x = 289,829.66

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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.