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Finding the Fourth Proportional to 392,019.63, 541,291.82 and 301,232.49

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Solution

The fourth proportional to 392,019.63, 541,291.82 and 301,232.49 is: 415,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,019.63 : 541,291.82 = 301,232.49 : x
  2. Step 2: Convert to fraction form
    392,019.63/541,291.82 = 301,232.49/x
  3. Step 3: Cross multiply
    392,019.63x = 541,291.82 × 301,232.49
  4. Step 4: Simplify right side
    392,019.63x = 163,054,681,249.07
  5. Step 5: Solve for x
    x = 163,054,681,249.07/392,019.63
  6. Step 6: Final answer
    x = 415,934.99

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