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Finding the Fourth Proportional to 299,084.77, 412,503.63 and 191,664.80

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Solution

The fourth proportional to 299,084.77, 412,503.63 and 191,664.80 is: 264,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,084.77 : 412,503.63 = 191,664.80 : x
  2. Step 2: Convert to fraction form
    299,084.77/412,503.63 = 191,664.80/x
  3. Step 3: Cross multiply
    299,084.77x = 412,503.63 × 191,664.80
  4. Step 4: Simplify right side
    299,084.77x = 79,062,425,743.22
  5. Step 5: Solve for x
    x = 79,062,425,743.22/299,084.77
  6. Step 6: Final answer
    x = 264,347.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.