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Finding the Fourth Proportional to 542,032, 748,004.16 and 303,568

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Solution

The fourth proportional to 542,032, 748,004.16 and 303,568 is: 418,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,032 : 748,004.16 = 303,568 : x
  2. Step 2: Convert to fraction form
    542,032/748,004.16 = 303,568/x
  3. Step 3: Cross multiply
    542,032x = 748,004.16 × 303,568
  4. Step 4: Simplify right side
    542,032x = 227,070,126,842.88
  5. Step 5: Solve for x
    x = 227,070,126,842.88/542,032
  6. Step 6: Final answer
    x = 418,923.84

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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.