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Finding the Fourth Proportional to 392,892.14, 591,963.56 and 354,985.45

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Solution

The fourth proportional to 392,892.14, 591,963.56 and 354,985.45 is: 534,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,892.14 : 591,963.56 = 354,985.45 : x
  2. Step 2: Convert to fraction form
    392,892.14/591,963.56 = 354,985.45/x
  3. Step 3: Cross multiply
    392,892.14x = 591,963.56 × 354,985.45
  4. Step 4: Simplify right side
    392,892.14x = 210,138,447,770.38
  5. Step 5: Solve for x
    x = 210,138,447,770.38/392,892.14
  6. Step 6: Final answer
    x = 534,850.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.