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Finding the Fourth Proportional to 592,694, 889,119.12 and 193,194.80

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Solution

The fourth proportional to 592,694, 889,119.12 and 193,194.80 is: 289,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,694 : 889,119.12 = 193,194.80 : x
  2. Step 2: Convert to fraction form
    592,694/889,119.12 = 193,194.80/x
  3. Step 3: Cross multiply
    592,694x = 889,119.12 × 193,194.80
  4. Step 4: Simplify right side
    592,694x = 171,773,190,564.58
  5. Step 5: Solve for x
    x = 171,773,190,564.58/592,694
  6. Step 6: Final answer
    x = 289,817.66

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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.