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Finding the Fourth Proportional to 542,744.96, 748,983.11 and 301,028.00

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Solution

The fourth proportional to 542,744.96, 748,983.11 and 301,028.00 is: 415,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,744.96 : 748,983.11 = 301,028.00 : x
  2. Step 2: Convert to fraction form
    542,744.96/748,983.11 = 301,028.00/x
  3. Step 3: Cross multiply
    542,744.96x = 748,983.11 × 301,028.00
  4. Step 4: Simplify right side
    542,744.96x = 225,464,882,387.02
  5. Step 5: Solve for x
    x = 225,464,882,387.02/542,744.96
  6. Step 6: Final answer
    x = 415,415.90

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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.