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Finding the Fourth Proportional to 542,701, 748,936.74 and 300,994.12

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Solution

The fourth proportional to 542,701, 748,936.74 and 300,994.12 is: 415,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,701 : 748,936.74 = 300,994.12 : x
  2. Step 2: Convert to fraction form
    542,701/748,936.74 = 300,994.12/x
  3. Step 3: Cross multiply
    542,701x = 748,936.74 × 300,994.12
  4. Step 4: Simplify right side
    542,701x = 225,425,554,991.97
  5. Step 5: Solve for x
    x = 225,425,554,991.97/542,701
  6. Step 6: Final answer
    x = 415,377.08

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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.