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Finding the Fourth Proportional to 542,559, 748,740.42 and 300,851.76

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Solution

The fourth proportional to 542,559, 748,740.42 and 300,851.76 is: 415,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,559 : 748,740.42 = 300,851.76 : x
  2. Step 2: Convert to fraction form
    542,559/748,740.42 = 300,851.76/x
  3. Step 3: Cross multiply
    542,559x = 748,740.42 × 300,851.76
  4. Step 4: Simplify right side
    542,559x = 225,259,873,140.14
  5. Step 5: Solve for x
    x = 225,259,873,140.14/542,559
  6. Step 6: Final answer
    x = 415,180.42

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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.