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Finding the Fourth Proportional to 592,692, 889,116.12 and 193,192.80

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Solution

The fourth proportional to 592,692, 889,116.12 and 193,192.80 is: 289,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,692 : 889,116.12 = 193,192.80 : x
  2. Step 2: Convert to fraction form
    592,692/889,116.12 = 193,192.80/x
  3. Step 3: Cross multiply
    592,692x = 889,116.12 × 193,192.80
  4. Step 4: Simplify right side
    592,692x = 171,770,832,747.94
  5. Step 5: Solve for x
    x = 171,770,832,747.94/592,692
  6. Step 6: Final answer
    x = 289,814.66

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Why These Related Problems?

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