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Finding the Fourth Proportional to 592,696, 889,122.12 and 193,196.80

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Solution

The fourth proportional to 592,696, 889,122.12 and 193,196.80 is: 289,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,696 : 889,122.12 = 193,196.80 : x
  2. Step 2: Convert to fraction form
    592,696/889,122.12 = 193,196.80/x
  3. Step 3: Cross multiply
    592,696x = 889,122.12 × 193,196.80
  4. Step 4: Simplify right side
    592,696x = 171,775,548,393.22
  5. Step 5: Solve for x
    x = 171,775,548,393.22/592,696
  6. Step 6: Final answer
    x = 289,820.66

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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.