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Finding the Fourth Proportional to 542,892.84, 749,194.02 and 301,180.20

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Solution

The fourth proportional to 542,892.84, 749,194.02 and 301,180.20 is: 415,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,892.84 : 749,194.02 = 301,180.20 : x
  2. Step 2: Convert to fraction form
    542,892.84/749,194.02 = 301,180.20/x
  3. Step 3: Cross multiply
    542,892.84x = 749,194.02 × 301,180.20
  4. Step 4: Simplify right side
    542,892.84x = 225,642,404,782.40
  5. Step 5: Solve for x
    x = 225,642,404,782.40/542,892.84
  6. Step 6: Final answer
    x = 415,629.73

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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.